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.
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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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