Question

12. The hypotenuse of a right triangle with its legs of lengths 3y,4y is
1 point
5y
7
16y
25y​

Answer 1

Answer:

5y is the hypotenuse

Explanation:

Given

• Legs of the right angle triangle are : 3y and 4y.

To Find

• Hypotenuse of the triangle.

Solution:

Let the hypotenuse = H

According to Pythagorean theorem:

➡ (hypotenuse)² = ( base )² + ( height)²

➡ (H)² = ( 3y )² + (4y )²

➡ (H)² = 9y² + 16y²

➡ (H)² = ( 9 + 16 )y²

➡ (H)² = 25y²

➡ H = √(25y²)

➡ H = 5y

Hypotenuse = H = 5y

First Option - 5y is the correct option.