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2 years ago

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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 perpendicu

lar 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
sooner would be better than later, thanks!!

2 answers:

S_A_V [24]2 years ago

7 0

The height is 51 units.

Step-by-step explanation:

Given that triangle FGH is a equilateral triangle then you know all its sides are equal.

The length of each side is given as 34√3 units.

A perpendicular bisector will divide HF into two equal parts. This means;

$34\sqrt{3} /2 =17\sqrt{3}$

Find the height by applying the pythagorean relationship where sum of the two sides of the triangle equals the square of the hypotenuse.

a²+b²=c² where a=17√3 , b=height and c=34√3

b²=c²-a²

b²= (34√3)²-(17√3)²

b²=(34²*3)-(17²*3)

b²=3468-867

b²=2601

b=√2601

b=51 units

Learn More

Pythagorean relationship:brainly.com/question/10812175

Keywords : triangle, equilateral, sides, perpendicular bisector, height

#LearnwithBrainly

Dominik [7]2 years ago

3 0

Answer:

the answer is 51 units

Step-by-step explanation:

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