Question

Each side of an equilateral triangle is 10 cm then what is the height of the triangle​

Answer 1

Answer:

The height of the equilateral triangle is 5√3 cm.

Answer 2

Answer:

b = 8.660254037844387

Step-by-step explanation:

By bisecting the triangle vertically, you will get two triangles with angles (30°, 60°, 90°) For now, we can just focus on one triangle.

Looking at one of the triangles, we already know the length of two sides.

The hypotenuse (the side which is not bisected) is 10 cm, as it is mentioned in the question that one side is 10 cm.

The side which got bisected is 5 cm, as 10 cm divided into two is 5 cm each.

The length of the only side which is left is the height, as the line we bisected through is the height.

To find the length, we can use the Pythagoras Theorem,

$a^{2} +b^{2} = c^{2}$ = $b^{2} = c^{2} - a^{2}$

= $b^{2} = 10^{2} - 5^{2}$

= $b^{2} = 100 - 25$

= $b^{2} = 75$

= $b = \sqrt{75}$

= $b$ = $8.660254037844387$