Question

an equilateral triangle has three sides of length 2m.Calculate the height of the triangle Using Pythagoras Rule​

Answer 1

Answer Your height is about ≈ 1.7m

Step by step

We know the 3 sides are 2m in length
We know we are to use Pythagorean theorem to solve for height
a^2 + b^2 = c^2

We know the triangle if bisected up the center will create a right triangle so we can solve for height. The bottom leg (a) of half the triangle is now 1m and the diagonal or hypotenuse (c) is 2m, we are looking for (b), see attachment

1^2 + b^2 = 2^2

1 + b^2 = 4
Subtract 1 from both sides to isolate b

1 - 1 + b^2 = 4 - 1
Simplify

b^2 = 3

√ b^2 = √ 3
Simplify

b = 1.73205081

Your height is about ≈ 1.7m

Answer 2

3 metre

Explanation:

h= root of 2² - 1

= 4-1

3