Question

The HFG is a triangle isosceles, and the H is the vertical angle. The HG is = 3x - 5, FG = x - 1, HF = x + 7. Find the values and measures of HG, FG, HF.

A. HG = 3x - 5, FG = x - 1, HF = x + 7
B. HG = 3x - 5, FG = x - 1, HF = 3x + 2
C. HG = 3x + 5, FG = x - 1, HF = x + 7
D. HG = x - 5, FG = 3x - 1, HF = x + 7

Answer 1

To find the values and measures of HG, FG, and HF in an isosceles triangle, we can set up equations based on the given information.

Step-by-step explanation:

HG = 3x - 5

FG = x - 1

HF = x + 7

To find the values and measures of HG, FG, and HF, we can set up equations based on the given information about the triangle:

• Since HFG is an isosceles triangle, the base angles HG and FG are equal.
• HF is the vertical angle, which is also equal to the base angles HG and FG.

Using these facts, we can set up the following equations:

• HG = FG (base angles of an isosceles triangle)
• HG = HF (vertical angle)

Solving the equations, we get:

HG = 3x - 5

FG = x - 1

HF = x + 7