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Syllabus

ABC is a triangle. AD is a median of ABC. E is the midpoint of AD and produced to meet AC at F. prove that AF=1/3AC

Fig below

what is the full form of cpct ? what does it mean ?

IN TRIANGLE PQR IF ANGLE R IS GREATER THAN ANGLE Q THEN THE RIGHT ANSWER IS

1)QR IS GREATER THAN PR

2)PQ IS GREATER THAN PR

3)PR IS GREATER THAN PQ

OR 4)PR IS GREATER THAN QR

1.if two isosceles triangle have a common base,prove that the line segment joining their vertices bisects the common base at right angles.

2.show that the sum of three medians of a triangle is less than its perimeter.

in triangle ABC,angle ACB is equals to 120 and CAB is equals to 40 .AC is extented to P such that AP=AC+2CB,then angle ABP= ?

In a triangle ABC AD is the bisector of angle BAC. Show that AB>BD and AC>CD

Given, three segments of length x, (11 -x) and (x - 4) respectively. Which of the following indicates the set of all numbers "x" such that the three segments could be the lengths of the side of a triangle?

options:

(A) x>4

(B) 0<x<11

(C)4<x<11

(D)5<x<7

1. If the bisector of an angle of a triangle also bisect the opp. side , prove that the triangle is isos . triangle ?

2. If triangle ABC is right angle at B. such that angle BCA=2 angle BAC . show that hypt.AC =2BC ?

3. bisector of angle B and angle C of isos. triangle ABC with AB=AC intersect each other at O. Show that external angle adjacent to angle ABC = angle BOC

4. In a rt. triangle prove that the line segment joining the mid point of the hypt to the opp. vertex is half of the hypt ?

5. line segment joining the midpoint M&N of prallel sides AB and DC . respectivelly of a trap. ABCD is perpendicular to both sides AB and DC . prove that AD = BC ?

What is CPCT?Give me a detailed brief about cpct?

## Rima used 3 of these 4 sticks to form a triangle with their ends touching each other.

Which of these could be the 3 sticks?

A. sticks P,Q and R

B.sticks P,Q and S

C. sticks P,R and S

d. sticks Q,R and S

CAN SOMEONE REPLY WHAT THE CORRECT ANS IS WITH EXPLAINATION

If the altitudes of a triangle ABC are equal,then prove that triangle is equilateral.

Medians BE and CF of a triangle ABC are equal. Prove that the triangle is isosceles

if a+b+c=15 and a2+b2+c2=83 find value of a3+b3+c3-3abc

If root x/ root 81 = cube root x/root 27 ,then x is ?

proof for basic proportionality theorem

Prove that Sum of Two Sides of a triangle is greater than twice the length of median drawn to third side.

prove that sum of all 3 angles of a triangle is 180.

can you give a brief proof for SSS congruence rule??

if x

^{3}+ 1/x^{3}= 110 then find the value of x+1/x(

a) BX || DY (b) XY and BD bisect each otherIn a triange ABC, prove that AB + AC > 2AD, where AD is the median from A to BC..pls answer this one....

^{2}=PB^{2}+PC^{2},then angle BPC isIf D is a mid-point of the hypotenuse AC of a right angled triangle ABC ( right angled at B ), prove that BD=1/2 ACprove that the difference of any two sides of a triangle is less than third side.

rs agarwal class 9 summative assessment sample paper 1 solution Question 33

In any triangle XYZ, the bisectors of the angles y and z meet at '0'. From a point 'O', OP perpendicular to YZ, OQ perpendicular to ZX AND OR perpendicular to XY respectively.Prove that OP=OQ=OR

prove that the perpendicular bisector of the sides of a cyclic quadrilateral are concurrent.

abc is a triangle with angle b = 2(angle c). d is a point on bc such that ad bisects angle bac and ab = cd.Prove angle bac = 72 degree

Please answer immedediately : In tri.ABC ,angle A = 90 and I is it's incentre .The perpendicular distance of I from BC is 8

^{1/2}.The length of AI isa) 4 units b) 8 units c) 2

^{1/2}units d) 2 unitsthe side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at a point T, then prove that Angle QTR = 1/2 angle QPR.

I have an exam tomorrow!

I need the answer quick!!!!!

Prove that medians of equilateral triangle are equal.

Prove tht sum of 3 altitudes of a triangle is less than the sum of three sides of a triangle

From a point in the interior of an equilateral triangle,perpendiculars are drawn on three sides.The length of perpendiculars are 14 cm,10 cm and 6 cm.Find the area of the triangle.

Q. In the given figure, find the value of x ?

Construct a triangle XYZ in which angleY = 30

^{ }degree, angle Z = 90 degree, xy + yz + zx = 11cm..Is it possible to have a triangle like this without decimals considering the Pythagorean theorem??

maths crossword puzzle for class 9

abcd is a parallelogram.if the two diagonals are equal.find the measure of angle abc

If the bisector of the vertical angle of a triangle bisects the base,prove that the triangle is isosceles.

i thing in example1 the AD is also common side

1) Prove that sum of any two sides of a triangle is greater than twice the median with respect to third side.

2) Show that the sum of three altitudes of a triangle is less than the sum of all three sides of triangle.

3) Prove that any two sides of a triangle are together greater than twice the median drawn to the 3rd side.

4) Prove that the perimeter of a triangle is greater than the sum of its medians.

5) In a quadrilateral ABCD in which diagonals AC BD intersects at O. Show that AB+BC+CD+DA 2(AC+BD)

6) ABC is a triangle in which angle B = twice angle C. D is a point on side BC such that AD bisects angle A and AB= CD. Prove that Angle BAC=72

If the ratio of the diagonals of a rhombus is 4:7 and the area of that rhombus is 1400 m^{2}, then find the dimensions of the diagonals.Can someone explain to me?

ABCD is a square and EF is parallel to diagonal BD and EM=FM. prove that

DF=BE

AM bisects angle BAD

what is the roof for AAS criterion ?

In triangle PQR, PS is the bisector of angle QPR and PT perpendicular QR. Show that angle TPS = 1/2 (angle Q-angle R).Its urgent ...Answer Fast Please.....

^{2}=SB$\times $ SC.AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD. Show that angle A is greater than angle C and angle B is greater than angle D.

In triangle ABC points D and E are on bc such that BD=EC and AD=AE prove that AB=AC

Prove that the perimeter of a triangle is greater than the sum of its altitudes

PQRS is a square and SRT is an equilateral triangle. Prove that PT=QT and angle TQR=15 degrees

Two angles of a riangle are equal and the third angle is gratehr than each one of them by 18 degree find the angles

Prove that the perimeter of a triangle is greater than sum of its three altitudes.

Find the cost of levelling the ground in the form of a triangle having the sides 51 m,

37 m and 20 m at the rate of Rs 3 per m2.S is a point on side QR of a triangle PQR. Show that: PQ + QR + RP 2PS

Does SSA rule exist ?

The sides of a triangle are 5 cm,12 cm and 13cm.find the length of perpendicular from the opposite vertex to the side whose length is 13cm

IN A TRIANGLE DEF IF D=30,E=60,THEN WHICH IS THE LONGEST AND SHORTEST SIDE OF THE TRIANGLE

xandy.Prove that in a quadrilateral the

sum of all sidesis greater than the sum of it's.diagonals^{2}+ AC^{2}=k^{2}(AB^{2}) , where k is a real number , then the value of k can be what?IN A RIGHT ANGLED TRIANGLE , ONE ACUTE ANGLE IS DOUBLE THE OTHER.PROVE THAT THE HYPOTENUSE IS DOUBLE THE SMALLEST SIDE

what is heron??.what is full form of SSS,ASS,RHS,SAS?

What is CPCT and can you explain the congruence rules ?

*no figure was given for this question*

How do we prove the RHS congruence rule??

Which practise book is more suitable?R.D Sharma/Reliable Question Bank fot 9th grade Maths?

what is the full form of cpct

prove that each angle of a rectangle is a right angle ?

In Figure given below, ∠Q > ∠R, PA is the bisector of ∠QPR and PM

in triangle abc , angle b = 45 degree angle c = 55 degree and bisector af angle a meet bc at point d find the measure of angle adb and angle adc

plx help

where can i get rs aggarwal maths solutions?

Q. In the given figure, find the value of p.

i have a question:-

what is the order in which we should name a triangle?is it clockwise or anti-clockwise,if that is the case,then ABC=BAC or CAB or ACB ??

can the meritnation experts please help me out?

P is a point on the bisector of ∠ABC. If the line through P, parallel to BA meet BC at Q, prove that BPQ is an isosceles triangle.

PROVE that medians of an equilateral triangle are equal