Question

find the height of an equilateral triangle whose side is 4 cm.​

Answer 1

Height = 3.46 cm

Step-by-step explanation:

GIVEN

Side = 4 cm

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TO FIND

Height

___________________________

We know that,

All sides of an equilateral triangle are equal

Therefore,

All sides of a triangle is 4 cm

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We know that,

Hypotenuse² = Base² + Height²

Here,

Hypotenuse = 4 cm

Base = 2 cm

Height = ?

Height² = Hypotenuse² - Base²

Height² = 4² - 2²

Height² = 16 - 4

Height² = 12

Height = √12

Height = 3.46

Height = 3.46 cm