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An equailateral triangle has a height of 52cm.Determine the length of each side to the nearest hundredth of a centimeter

User Mihi
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2 Answers

1 vote
each side is 52 cm. because equilateral triangles have equal lengths on each side.
User Spencer Rathbun
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6.1k points
1 vote

Answer:

Each side is 60.04 to the nearest hundredth

Explanation:

Equilateral triangle have three side equal . The internal angle of equilateral triangle are congruent .Each angle is 60° .

The picture above illustrate an equilateral triangle with the height .

height = 52 cm

The length of one side of an equilateral triangle is same for all length.

using the SOHCAHTOA principle,

sin 60° = 52/side

cross multiply

side × 0.8660254038 = 52

side = 52/0.8660254038

side = 60.04442799

Each side is 60.04 to the nearest hundredth

An equailateral triangle has a height of 52cm.Determine the length of each side to-example-1
User Jagadeeshwar
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5.6k points