178k views
4 votes
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.

User Blhsing
by
8.4k points

1 Answer

9 votes

Explanation:

as the height in such a triangle (all 3 sides are equally long, and therefore also all 3 angles are equal 60°) is creating a right angle (90°) with the opposing side (and "splitting" it in half at the crossing point), we can use Pythagoras to calculate the length of the height :

side is the baseline, the height is one leg, and half of the other side is the second leg.

18² = height² + (18/2)² = height² + 9²

324 = height² + 81

height² = 243

height = 15.58845727... cm ≈ 15.6 cm

User Stoves
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories