Question

Diya takes a square wrapping paper and folds it along the diagonal to make a triangle. Now Diya measures the diagonal and finds that its length is
22
cm. What is the area of the right triangle formed (in cm2)

Answer 1

Step-by-step explanation:

since the diagonal is 22 cm.

then, by pythagoras theorem

height²+base²=diagonal²

since it is a square. therefore height=base=a

a²+a²=diagonal²

2a²= (22)²

a² = 484/2

a = √242

a= 15.5 (approx)

therefore, the area of triangle is

= ½(15.5×15.5) cm²

= 120.1 cm²