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The side lengths of a right triangle are 10, 26, and 24. Which is the hypotenuse?
A. 10
B. 24
C. 26

Sagot :

Shawnnguyen0203idn

Answer:

The hypotenuse is 26.

Step-by-step explanation:

It's always the longest side of a right triangle

The longest side in the right-angled triangle is the side opposite to the right angle which is the hypotenuse and the measure of the hypotenuse is 26 units option (c) is correct.

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We have a right-angled triangle the side measures are 10, 26, and 24

According to the Pythagoras theorem:

[tex]\rm (hypotenuse)^2 = (perpendicular)^2+(base)^2[/tex]

If we take:

Perpendicular = 24 units

Base = 10 units

Put in the formula, we get:

(Hypotenuse)² = 24² + 10²

Hypotenuse = √676

Hypotenuse = 26 units.

Thus, the longest side in the right-angled triangle is the side opposite to the right angle which is the hypotenuse and the measure of the hypotenuse is 26 units option (c) is correct.

Learn more about the right angle triangle here:

https://brainly.com/question/3770177

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