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puteri [66]
3 years ago
11

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.

<u>Let the altitude be x. Then as per Pythagorean theorem:</u>

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

<u>Correct choice is</u> the second one

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