Start with the original expression.
Use the Distributive Property — multiply by both
and
.
Combine the like terms — add up all the constants.
Reorder the terms.
What is the perimeter?
2 answers:
<h3>☆Given :</h3>
- BC = 5 in
- AC = 8in
- AB = x (in)
- Perimeter of triangle
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.
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