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zavuch27 [327]
3 years ago
12

The legs of a right triangle are 10 cm and 24 cm. What is the length of the hypotenuse?

Mathematics
2 answers:
Anastaziya [24]3 years ago
7 0

Answer:

The length of the hypotenuse is 26 cm.

Step-by-step explanation:

It is given that the legs of a right triangle are 10 cm and 24 cm.

we need to find the length of the hypotenuse.

According to the Pythagoras theorem,

hypotenuse^2=leg_1^2+leg_2^2

Substitute leg_1=10 and leg_2=24 in the above formula.

hypotenuse^2=(10)^2+(24)^2

hypotenuse^2=100+576

hypotenuse^2=676

Taking square root on both sides.

\sqrt{hypotenuse^2}=\sqrt{676}

hypotenuse=26

Therefore the length of the hypotenuse is 26 cm.

n200080 [17]3 years ago
6 0
To determine the length of the hypotenuse, apply Pythagorean theorem.

A^2 + B^2 = C^2
(10)^2 + (24)^2 = C^2
100 + 576 = C^2
676 = C^2
C = 26 cm.

The hypotenuse is 26 cm.
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4 0
3 years ago
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