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chicoandtweety
Answered

A right triangle has a leg of 13 cm and a hypotenuse of 21 cm.


What is the length of the other leg?


Round to the nearest tenth.


a: 8.0 cm


b: 16.5 cm


c: 24.7 cm


d: 272.0 cm

Verified Answer :

skilewis

a^2 + b^2 = c^2
13^2 + b^2 = 21^2
169 + b^2 = 441
b^2 = 441 - 169
b^2 = 272
\(\sqrt{b}\) = \(\sqrt{272}\)
b = 16.5

The length of the other leg is 16.5 cm.

What is the length of the other leg?

In order to determine the length of the other leg, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where

  • a = length
  • b = base
  • c = hypotenuse

21² - 13²

441 -169

√272 = 16.5cm

To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675

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