Using the Pythagorean Theorem, how do you find the length of side B given that side A = 10 and hypotenuse C = 26?

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Using the Pythagorean Theorem, how do you find the length of side B given that side A = 10 and hypotenuse C = 26?

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Answer 1 · 2016-04-11T09:45:21

B = 24

Explanation:

Using $Pythagoras' theorem in this triangle$ $color(blue)" Pythagoras' theorem " " in this triangle "$

C is the hypotenuse hence : $C^{2} = A^{2} + B^{2}$ $C^2 = A^2 + B^2$

$\Rightarrow 26^{2} = 10^{2} + B^{2}$ $rArr 26^2 = 10^2 + B^2$

$\Rightarrow B^{2} = 26^{2} - 10^{2} = 676 - 100 = 576$ $rArr B^2 = 26^2 - 10^2 = 676 - 100 = 576$

now $B^{2} = 576 \Rightarrow B = \sqrt{576} = 24$ $B^2 = 576 rArr B = sqrt576 = 24$

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Using the Pythagorean Theorem, how do you find the length of side B given that side A = 10 and hypotenuse C = 26?

1 Answer

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