In a right triangle, if one side is 5 cm and the other is 12 cm, the hypotenuse will be _____?
- 7 cm
- 11 cm
- 13 cm
- None of these
Explanation
Using the Pythagorean theorem:
a² + b² = c²
where a and b are the lengths of the two sides, and c is the length of the hypotenuse.
Given:
a = 5 cm
b = 12 cm
Substitute the values:
5² + 12² = c²
25 + 144 = c²
169 = c²
Take the square root:
c = √169
= 13 cm
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- 180°
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