Question

The length of hypotenuse of an isosceles right angled triangle is 8 cms then what is its area and length of equal sides?

Answer 1

Mensuration,

let the two equal sides as x

And, as it is isosceles triangle

So, base = height = x

we know that for right angeld triangles hypotenuse² = base²+ height²

So, 8² = x²+ x²

or, 64 = 2x²

or, x² = 32

or, x = 4√2

so the equal sides are 4√2 cm

and the area of the triangle is as we know that

½ × base × height

So,½ × 4√2 × 4√2 cm²

= 16 cm²

That's it

Hope it helped (｡ŏ﹏ŏ)