The two legs of a right triangle are equal and the square of the hypot

1.	The two legs of a right triangle are equal and the square of the hypotenuse is 50. Find the length of each leg.
Answer» 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 x²+ x²= (Hypotenuse)² x²+ x²= 50 2x²= 50 x² = 25 x = 5 Hence, the length of each leg is 5 units.

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

Answer»

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

x²+ x²= (Hypotenuse)²

x²+ x²= 50

2x²= 50

x² = 25

x = 5

Hence, the length of each leg is 5 units.