. In figure (4) PQR is an equilateral triangle and QRST is a square. Prove that
(i) PT = PS (ii) PSR = 15
Dear student,
Given:
Triangle PQR is an equilateral triangle, i.e., each angle is .
QRST is a square, i.e., each angle is .
Similarly,
Consider the triangles PQT and PRS.
Further, the side of the square coincides with the triangle, PR = RS, which makes PRS isosceles.
Let .
Using angle sum property of a triangle, we get:
∴
Hence, proved.
Regards
Given:
Triangle PQR is an equilateral triangle, i.e., each angle is .
QRST is a square, i.e., each angle is .
Similarly,
Consider the triangles PQT and PRS.
Further, the side of the square coincides with the triangle, PR = RS, which makes PRS isosceles.
Let .
Using angle sum property of a triangle, we get:
∴
Hence, proved.
Regards