3 years ago

The length of a side of an equilateral triangle is 40cm. what is the length of the altitude of the triangle?

Mathematics

1 answer:

podryga [215]3 years ago

4 0

Answer:

20√3 cm

Step-by-step explanation:

Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.

Let the altitude be x. Then as per Pythagorean theorem:

x² = 40² - (40/2)²
x²= 1600 -400
x²= 1200
x= √1200
x= 20√3 cm

Correct choice is the second one

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