Question

Two equal sides of an isosceles triangle are 5y – 2 and 4y + 9 units. The third

side is 2y + 5 units. Find y and the perimeter of the triangle.​

Answer 1

Answer:

Step-by-step explanation:

The triangle is isosceles triangle.

therefore the two sides will be equal.

therefore, 5y - 2 = 4y + 9 -------(1)

5y - 4y = 9 + 2

y = 11

Substitute y= 11 in all sides of triangle.

therefore, 5y - 2

= 5 x 11 - 2

= 55 -2

= 53

4y + 9 = 53 --------(from 1)

2y + 5

= 2 x 11 + 5

= 22 + 5

= 27

Now, that we got all sides,

Perimeter of triangle = side + side + side

= 53 + 53 + 27

= 133

therefore, perimeter of triangle is 133 units.

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