Question

What is the perimeter?

Answer 1

☆Given :

• BC = 5 in

• AC = 8in

• AB = x (in)

☆To find :

• Perimeter of triangle

☆Solution:

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.

Answer 2

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