Question

the two legs of right triangle are equal and the square of its hypotaneuse is 50 find the length of each leg

Answer 1

Given.
(hypotenuse)²=50units.

And
altitude = base (. two legs of Right angled Triangle)

On squaring,
(altitude)²=(base)² let it be x²→(1)


By Pythagoras theorem,

(hypotenuse)²=(base)²+(altitude)²
→50=2(x)² [from (1)]

→25=x²
→x=√25=5units.

So Length of each Leg of the given Triangle is 5units...

Hope it Helps...
Regards,
Leukonov

Answer 2

2 legs are equal, square of hypotenuse is 50

Define x:

Let each of the legs be x units

Solve x:

x² + x² = 50

2x² = 50

x² = 25

x = √25

x = 5 units

Answer: Each of the leg is 5 units long.