Question

find the height of equilateral triangle whose side is 15cm​

Answer 1

Answer:

Step-by-step explanation:

use Pythagorean formula.

draw a median for the triangle now the median is h is the perpendicular

and hypotenuse is 15

base is divided into half=7.5

15^2 = 7.5^2 + h^2

225 - 56.25 = h^2

168.75 = h^2

h = 12.99 cm

Answer 2

Q) Find height of equilateral triangle with side 12 cm.

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Answer :- 13 cm

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Solution :-

Height of an equilateral triangle = $\frac{\sqrt{3} }{2} *side$

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Here,

• Side = 15 cm

So,

Height = $\frac{\sqrt{3} }{2} *side$

= $\frac{\sqrt{3} }{2} *15$

= $1.73*\frac{15}{2}$

= $\frac{25.95}{2}$

= 12.97

= 13 cm

Therefore :-

Height of equilateral triangle = 13 cm.