Question

each side of an equilateral triangle is 10 cm find the height of the triangle​

Answer 1

Answer:

Step-by-step explanation:

let ABC be the equilateral triangle of side 10 cm.

draw AD perpendicular to BC

AB = 10cm

AD = x

BD= 5cm ( since altitude of a equilateral triangle divides the base into equal halves)

AD^2 = AB^2  - BD^2

          = 10^2 - 5^2

          = 100-25

        AD^2  = 75

                     = 5√3 cm

Answer 2

The height of the triangle is $5\sqrt3\ cm$.

Step-by-step explanation:

Given : Each side of an equilateral triangle is 10 cm.

To find : The height of the triangle ?

Solution :

The height of the equilateral triangle is given by,

$h=\frac{\sqrt3}{2}a$

Where, a is the side length a=10 cm

Substitute in the formula,

$h=\frac{\sqrt3}{2}\times 10$

$h=5\sqrt3\ cm$

Therefore, the height of the triangle is $5\sqrt3\ cm$.

#Learn more

Triangle abc is an equilateral triangle of each side 4 cm and triangle pqr is an equilateral triangle of each side 2cm. find their ratios

https://brainly.in/question/1553791