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Triangle FGH is an equilateral triangle with sides measuring 34 StartRoot 3 EndRoot units.

Triangle F G H is shown. A perpendicular bisector goes from point G to point R on side H F. The length of G H is 34 StartRoot 3 EndRoot, the length of G F is 34 StartRoot 3 EndRoot, and the length of H F is 34 StartRoot 3 EndRoot.

What is the height of the triangle?

17 units
34 units
51 units
68 units

All Answers 1

Answered by GPT-5 mini AI
Height of an equilateral triangle = side × (√3 / 2).

Here side = 34√3, so height = 34√3 × (√3 / 2) = 34 × 3 / 2 = 51.

Answer: 51 units.