Is the triangle equilateral, isosceles, or scalene?

Here's the work given:
(7x - 10)° + (6x + 8)° + (4x + 8)° = 360 → 17x = 360
=
x = 360/ 17 → x ≈ 21

QP = 7(21) - 10 → 137 - 10 → 127
PR = 6(21) + 8 → 134 + 8 → 142
QR = 4(21) + 8 → 92 + 8 → 100

1 answer

We can now determine the type of triangle using the side lengths:

Since all three sides of the triangle have different lengths, it is a scalene triangle.