momslilangel07ove4h6
momslilangel07ove4h6 momslilangel07ove4h6
  • 07-05-2020
  • Mathematics
contestada

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

20√2 cm
20√3 cm
4√5 cm
6√5 cm​

Respuesta :

mhanifa
mhanifa mhanifa
  • 12-08-2020

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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