Question

In the given figure, quadrilateral PQRS is a square. If triangle QRT and triangle PRU are similar to each other, then prove that A(triangle QRT) = – A( triangle PRU).​ pls help it's urgent

Answer 1

Step-by-step explanation:

if they are similar then area ratios will be equal to squares of their corresponding sides

so

ar(qrt)/ar(pru) =(qr) ^2/(proud) ^2

if a is the side of a square then diagonals are of length √2a

so

ar(qrt)/ar(pru)= (a/√2a) ^2 = 1/4