Question

Find the length of the hypotenuse of an isosceles right-angle triangle if its area is 50m².
From Heron's Formula​

Answer 1

Answer:

length of the hypotenuse of an isosceles right-angle triangle if its area is 50m² is 10√2 m

Given:

• Area of isosceles right-angle triangle = 50m²
• It is isosceles triangle. So, two sides are equal

To find:

• length of the hypotenuse of the given triangle

Soln. -

Let, the equal sides be x cm

Area of a triangle = 1/2.b.h

50m² = (1/2) x²

therefore, x = 10cm

So, by pythagoras theorem,

Hypotenuse² = Opposite² + Adjacent²

Hyp² = 10² + 10²

Hyp = √200

Therefore, hyp = 10√2 m

Answer 2

Find the length of the hypotenuse of an isosceles right-angle triangle