dejanae119 dejanae119
  • 23-10-2020
  • Mathematics
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Find the value of b for the triangle using the Pythagorean Theorem.

Find the value of b for the triangle using the Pythagorean Theorem class=

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Sueraiuka
Sueraiuka Sueraiuka
  • 23-10-2020

Step-by-step explanation:

Hey there!

Given;

The given figure is a Right angled triangle, taking reference angle as angle B.

Hypotenuse= AB=5

Base= CB= 4

Perpendicular= AC=b

Using Pythagorean theorem.

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex]p = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

Put all values.

[tex]b = \sqrt{ {5}^{2} - {4}^{2} } [/tex]

[tex]b = \sqrt{25 - 16} [/tex]

[tex]b = \sqrt{9} [/tex]

Therefore, the value of b is 3.

Hope it helps...

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