Question

An equilateral triangle with side length 18 cm is shown in the diagram, work out the height of the triangle.
Give your answer rounded to 1 DP.

Answer 1

Answer:

height will be ✓3/2× side

Answer 2

Given : An equilateral triangle with side length 18 cm diagram,  

To Find : the height of the triangle.

Solution:

Area of an Equilateral triangle = $\dfrac{ \sqrt{3} }{4} (\text{side})^2$

Area of Triangle =  $\dfrac{1}{2} \times \text{base} \times \text{height}$

All sides of equilateral triangle are equal  

base = side of triangle =  18

and  let height of triangle = h

$\dfrac{ \sqrt{3} }{4} (18)^2=\dfrac{1}{2} \times 18 \times h$

$\dfrac{ \sqrt{3} }{2} \times 18 = h$

$9 \sqrt{3} = h$

Hence height of the triangle is 9√3  cm  ≈ 15.6 cm

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