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The lengths of the sides of the triangle are 8, 8, 20
Explanation:
Given that the perimeter of an isosceles triangle is 36 inches.
The base of the triangle is times longer than each of its legs.
We need to determine the lengths of the sides of the triangle.
<u>Lengths of the sides:</u>
Let x denote the lengths of the sides of the triangle.
The base of the triangle is given by
Perimeter of the isosceles triangle = Sum of the three sides of the triangle.
Thus, we have,
Thus, the length of the sides of the isosceles triangle is 8 inches.
Base of the triangle =
Hence, the three sides of the isosceles triangle are 8, 8, 20
Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"
Since,
6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x =
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.