8. The figure shows an equilateral triangle with its
sides as indicated. Find the length of each side of
the triangle.
(2x - 7) cm
(x + y - 9) cm
(y + 5) cm
Answers
Answer:
Please try it when you not got answer then I will solve it and then send you
Answer:
Since the triangle is equilateral, the three sides have equal lengths.
It gives you this system of two equations in two unknowns:
2x - 7 = x + y - 9 (1)
2x - 7 = y + 5 (2)
Simplify by collecting the unknown variables on the left side and the constant terms on the right
x - y = -2 (1')
2x - y = 12 (2')
To solve the system, apply the Elimination method.
For it, subtract equation (1') from equation (2'). Then the " y " terms will cancel each other, and you will obtain
2x - x = 12 - (-2), or
x = 14.
Now you can calculate the side length as (2x-7) = 2*14 - 7 = 21.
Answer. Each side of the given equilateral triangle is 21 units long.
Solved.✌️
I hope this answer may helped you✌️