Question

In the isosceles triangle to the left, find A and B if you knew the perimeter was 20x + 35

Answer 1

Answer:

a = 8

b = 17

Step-by-step explanation:

We are given the following:

An isosceles triangle with perimeter $20x + 35$.

Property of Isosceles Triangle:

• Two sides out of three sides of an isosceles triangle are equal.

Thus, the two equal sides of the triangle from given daigram is:

$ax+9$

The third side is :

$4x + b$

Perimeter of triangle =

$\text{Sde 1 + Side 2 + Side 3}$

Putting the values, we have:

$20x + 35 = 2(ax+9) + (4x + b)\\20x + 35 = 2ax + 18 + 4x + b\\20x + 35 = (2a+4)x + (18+b)\\\text{Comparing both sides of the equation}\\2a + 4 = 20\\\Rightarrow 2a = 20-4 = 16\\a = 8\\18+b = 35\\\Rightarrow b = 35-18 = 17$

Thus value of a is 8 and b is 17.

Answer 2

let's recall that an isosceles triangle has two twin sides.

Check the picture below.