Question

The two legs of a right triangle are equal and the
square of its hypotenuse is 50. find the lenght of each
lege.​

Answer 1

Given:

• AB = BC
• ΔABC is right angled at B

To find:

• Length of each side

Solution :

${a}^{2} + {b}^{2} = {c}^{2}$

AB² + BC² = AC²

2x² = 50

x² = 25

x = √25

x = 5

>> The length of both the sides are 5.

Answer 2

Step-by-step explanation:

given that two sides of right triangle is equal

let this two sides be x

and also given that square of hypotenuse is 50

according to Pythagoras theorem

H²=B²+P²

50=x²+x²

50=2x²

50/2=x²

25=x²

√25=x

5=x

so, the two sides are 5 units and hypotenuse is 25