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Lelechka [254]
3 years ago
15

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

Mathematics
2 answers:
pogonyaev3 years ago
6 0

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.

enyata [817]3 years ago
5 0

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

Check the picture below.

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