The hypotenuse of a right triangle with its legs of lengths 3x × 4x is
a. 5x
b. 7x
c. 16x
d. 25x

Solution:

The legs of a right triangle has lengths 3x × 4x

We have to find the hypotenuse of the triangle.

By Pythagorean theorem,

Hypotenuse² = base² + perpendicular²

Let base = 3x

Let perpendicular = 4x

Now, hypotenuse² = (3x)² + (4x)²

Hypotenuse² = 9x² + 16x²

Hypotenuse² = 25x²

Taking square root,

Hypotenuse = √25x²

Hypotenuse = 5x

Therefore, the hypotenuse is 5x units.

✦ Try This: The hypotenuse of a right triangle with its legs of lengths 6x × 8x is a. 5x, b. 10x, c. 16x, d. 25x

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 14

The hypotenuse of a right triangle with its legs of lengths 3x × 4x is, a. 5x, b. 7x, c. 16x, d. 25x

Summary:

The hypotenuse of a right triangle with its legs of lengths 3x × 4x is 5x

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