IN TRIANGLE PQR,  ANGLE PQR =90 DEGREE  PR=10CM  S IS MIDPOINT OF PR. FIND LENGTH OF QS.

Asked by dvmathur | 22nd Nov, 2019, 02:42: PM

Expert Answer:

Construction: Extend QS such that QS = SO and Join PO and RO
Now,PORQ is a parallelogram ( as its diagonals bisect each other)

angle PQR = 90° ( given)

PORQ is a rectangle. ( //gm with an angle = 90° is rectangle)

PR = QO ( diagonals of rectangles are equal)

QS = PR/2

QS = 10/5 = 5 cm

Answered by Arun | 27th Nov, 2019, 09:41: AM