Question

Ms. Spires tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. What is your answer?

Answer 1

Answer:

according to the hypothesis about right angled triangle

$base^{2} + leg ^{2} = hypotenuse^{2}$

so, base = x

leg=5cm

hypotenuse =13cm

${x}^{2} + {5}^{2} = {13}^{2}$

${x}^{2} + 25 = 169$

${x}^{2} = 169 - 25$

${x}^{2} = 144$

$x = \sqrt{144} (power \: changes \: to \:root)$

$x = 12$

so, the base =12cm

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