The perimeter of an isosceles triangle is 32 cm. the base is 2 cm longer than the length of one of the congruent sides. What is the area of the triangle?

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The perimeter of an isosceles triangle is 32 cm. the base is 2 cm longer than the length of one of the congruent sides. What is the area of the triangle?

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Answer 1 · 2015-11-14T03:45:07

Our sides are $10, 10, and 12 .$ $10, 10, and 12.$

Explanation:

We can start out by creating an equation that can represent the information that we have. We know that the total perimeter is $32$ $32$ inches. We can represent each side with parenthesis. Since we know other 2 sides besides the base are equal, we can use that to our advantage.

Our equation looks like this: $(x + 2) + (x) + (x) = 32$ $(x+2)+(x)+(x) = 32$ . We can say this because the base is $2$ $2$ more than the other two sides, $x$ $x$ . When we solve this equation, we get $x = 10$ $x=10$ .

If we plug this in for each side, we get $12, 10 and 10$ $12, 10 and 10$ . When added, that comes out to a perimeter of $32$ $32$ , which means our sides are right.

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The perimeter of an isosceles triangle is 32 cm. the base is 2 cm longer than the length of one of the congruent sides. What is the area of the triangle?

1 Answer

Explanation:

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