Question

An Equilateral Triangle has sides 10 units long. Find the height and the are

Answer 1

Step-by-step explanation:

Given :-

The side of an equilateral triangle is 10 units

To find :-

Find the height and the area of the triangle ?

Solution :-

Given that

The side of an equilateral triangle = 10 units

Let a = 10 units

We know that

Height of an equilateral triangle (h) = (√3/2)a units

Height of the given triangle

=> h = (√3/2)×10 units

=> h = √3×5

=> h = 5√3 units

We know that

Area of an equilateral triangle (A) = (√3/4)a² sq.units

Area of the given triangle

=> A = (√3/4)×10² sq units

=> A = (√3/4)×100 sq.units

=> A = √3×25 sq.units

=> A = 25√3 sq.units

Answer :-

Height of the triangle = 5√3 units

Area of the triangle = 25√4 sq.units

Used formulae:-

→ Height of an equilateral triangle (h) = (√3/2)a units

→ Area of an equilateral triangle (A) = (√3/4)a² sq.units

• a = side of the equilateral triangle.