Question

The two legs of a right angled triangle are equal and the square of the hypotenuse is 50. Find the length of each leg.
TRIANGLES AND ITS PROPERTIES


Hope for help......

Answer 1

Answer:

5 units

Step-by-step explanation:

Let the length of each leg be 'x' units.

Given that two legs are equal and square of hypotenuse is 50.

⇒ x² + x² = (hypotenuse)²

⇒ 2x² = 50

⇒ x² = 25

⇒ x² = (5)²

⇒ x = 5.

Therefore, length of each leg is 5 units.

Hope it helps!

Answer 2

Step-by-step explanation:

Let each equal side be a

Then according to the Greek philosopher Pythagoras ;

(Hypotenuse)²=a²+a²

⇒50 = 2a²

⇒ a² = 50/2

⇒ a² = √25

⇒ a = 5 units