Question

10. angle GHI is an isosceles triangle with GI HI. IF GH is three more than x, HI is 17 less than four

Answer 1

Answer:

GH = 17 units

GI = 39 units

HI = 39 units

Step-by-step explanation:

We are given the following information in the question:

Triangle GHI is an isosceles triangle.

$GI = HI$

The measures of side are:

$GH = 3 + x\\HI = 4x-17\\GI = 6x - 45$

It is given that

GI = HI

$4x - 17 = 6x -45\\6x - 4x = 45-17\\2x = 28\\x = 14$

Thus, the measures of three sides are:

$GH = 3 + x=14+3 = 17\\HI = 4x-17 = 4(14)-17 = 39\\GI = 6x - 45=6(14) - 45 = 39$