Question

What is the perimeter?

Answer 1

19.25 inches

Explanation:

x^2 + 5^2 = 8^2= 64

25+ x^2 = 64

x^2 = 64-25= 39

x = 6.24

perimeter = 19.24

Answer 2

☆Given :

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• BC = 5 in

• AC = 8in

• AB = x (in)

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☆To find :

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• Perimeter of triangle

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☆Solution:

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So to find perimeter of triangle first we have to find value of x.

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As it's Given one angle is 90°

So we can find value of x by using this formula:-

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Hypotenuse ² = Base² + perpendicular ²

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Where :-

Hypotenuse is AC

Base is BC

Perpendicular is AB

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So:-

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⇢AC² = BC² + AB²

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⇢8² = 5² + x²

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⇢64 = 5² + x²

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⇢64 = 25 + x²

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⇢25 + x² = 64

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⇢x² = 64 - 25

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⇢x² = 39 in.

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⇢x = √(39)

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⇢x = 6.2

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Now Let's find perimeter of triangle.

We know :-

Perimeter of triangle = Side one + side two + side 3

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So:-

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⇢Perimeter of triangle = AB + BC + AC

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⇢Perimeter of triangle = 5 + 8 + 6.2

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⇢Perimeter of triangle = 13 + 6.2

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⇢Perimeter of triangle = 19.2 in.