Question

Find the length of the altitude of an equilateral triangle of side 3 root 3 cm

Answer 1

Length of side = 3✓3 cm
Area of equilateral triangle = ✓3/4 x a^2

Here a = 3✓3 cm
✓3/4 x (3✓3)^2
= ✓3/4 x 9
= 9✓3/4 sq cm

Now area of triangle = 1/2 x base x altitude
9✓3/4 = 1/2 x 3✓3 x altitude
Altitude = 3/2 = 1.5 cm

Hope This Helps You!

Answer 2

WE KNOW THAT ALTITUDE OF EQUILATERAL TRIANGLE ALSO BISECTS OPPOSITE SIDE

SO IN THE NEW TRIANGLE,
ONE SIDE IS 3√3 , ALTITUDE IS UNKNOWN AND OTHER SIDE IS [3√3]÷2【Note this is bisected side】

SO APPLYING PYTHAGORAS THEOREM, WE GET

【3√3】^2=X^2 + 【3√3/2】^2

27=X^2+27/4

X=【4.5】

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