below are given the measures of certain sides and angles of triangles identify those which cannot be constructed and, say - Maths - Practical Geometry

Question

below are given the measures of certain sides and angles of
triangles identify those which cannot be constructed and, say why
you cannot construct them construct rest of the triangles
triangles given measurements
ABC M<A=85O M<B=115O AB=5cm
PQR M<Q=30O M<R=60O QR=4 7cm
ABC M<A=70O M<50O AC=3cm
LMN M<L=60O M<N=120O LM=5cm
ABC BC=2cm AB=4cm AC=2cm
PQR PQ=3 5cm QR=4cm PR=3 5cm
XYZ XY=3cm YZ=4cm XZ=5cm
DEF DE=4 5cm EF=5 5cm DF=4cm

Neha Sethi · Accepted Answer

1
 In △ABC, ∠A=85°,∠B=115°,AB=5cmConstruction of △ABC is not possible because ∠A+∠B=85°+115°=200°and we know that the sum of angles of a triangle should be 180°2
 In △PQR, ∠Q=30°,∠R=60° and QR=4
7cmSteps construction:Draw a line segment QR=4
7cma) At point Q, draw ∠XQR=30° with the help of compass
b) At point R, draw ∠YRQ=60° with the help of compass
c) QX and RY intersect at point P
It is the required △PQR
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