find x.
is the traingle equilateral, isosceles or scalene.
PQ = 8x-10
PR - 6x
QR = 10x+10
To determine if the triangle is equilateral, isosceles, or scalene, we need to compare the side lengths.
If the triangle is equilateral, then all three sides are equal in length.
If the triangle is isosceles, then at least two sides are equal in length.
If the triangle is scalene, then all three sides are different lengths.
Given:
PQ = 8x - 10
PR = 6x
QR = 10x + 10
Since we know that PR = 6x and PQ = 8x - 10, we can set up an equation to determine if the triangle is isosceles:
6x = 8x - 10
-2x = -10
x = 5
Now that we have found x, we can find the lengths of each side:
PQ = 8(5) - 10 = 40 - 10 = 30
PR = 6(5) = 30
QR = 10(5) + 10 = 50 + 10 = 60
Since all three sides of the triangle have different lengths, the triangle is scalene.