Question

the two legs of a right triangle are equal and yellow square of its hypotenuse is 50.find the length of each leg.​

Answer 1

Step-by-step explanation:

According to the Pythagoras theorem, we have

(Hypotenuse)^2 = (Base)^2 + (Height)^2

Given that the two legs of a right triangle are equal and the square of the hypotenuse, which is 50

Let the length of each leg of the given triangle be x units.

Using the Pythagoras theorem, we get

x^2 + x^2 = (Hypotenuse)^2

x^2 + x^2 = 50

2x^2 = 50

x^2 = 25

x = 5

Hence, the length of each leg is 5 units.

Answer 2

Answer:

length of each leg = 5 units

Step-by-step explanation:

let one side of ∆ be A, B and C

C being the hypotenuse

A² + B² = C²

since two sides are equal, A = B

therefore, A² + A² = C²

2A² = C²

2A² = 50

A² = 50/2 = 25

A = 5

length of each leg = 5 units