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2 years ago

What is the perimeter?

Mathematics

2 answers:

hichkok12 [17]2 years ago

6 0

<h3>☆Given :</h3>

$\\$

BC = 5 in

AC = 8in

AB = x (in)

$\\$

$\\$

Perimeter of triangle

$\\$

<h3>☆Solution:</h3>

$\\$

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

$\\$

As it's Given one angle is 90°

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

$\\$

Hypotenuse ² = Base² + perpendicular ²

$\\$

Where :-

Hypotenuse is AC

Base is BC

Perpendicular is AB

$\\$

So:-

$\\$

⇢AC² = BC² + AB²

$\\$

⇢8² = 5² + x²

$\\$

⇢64 = 5² + x²

$\\$

⇢64 = 25 + x²

$\\$

⇢25 + x² = 64

$\\$

⇢x² = 64 - 25

$\\$

⇢x² = 39 in.

$\\$

⇢x = √(39)

$\\$

⇢x = 6.2

$\\$

Now Let's find perimeter of triangle.

We know :-

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

$\\$

So:-

$\\$

⇢Perimeter of triangle = AB + BC + AC

$\\$

⇢Perimeter of triangle = 5 + 8 + 6.2

$\\$

⇢Perimeter of triangle = 13 + 6.2

$\\$

⇢Perimeter of triangle = 19.2 in.

Inessa [10]2 years ago

3 0

Answer:

19.25 inches

Step-by-step explanation:

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

25+ x^2 = 64

x^2 = 64-25= 39

x = 6.24

perimeter = 19.24

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