Question

2. If GFE~GJH, find the value of FG.
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Answer 1

• 77 units

Explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

Use ratios to find the value of x:

• (4x - 5)/(x + 7) = 35/12.5
• (4x - 5)/(x + 7) = 14/5
• 5(4x - 5) = 14(x + 7)
• 20x - 25 = 14x + 98
• 20x - 14x = 98 + 25
• 6x = 123
• x = 123/6
• x = 20.5

Find the value of FG:

• FG = 4*20.5 - 5 = 77