Question

the perimeter of an equilateral triangle is 42 cm and its base is the one of times each of the equal sides find number one in the length of each side of the triangle number to the area of the triangle and number three the height of the angles

Answer 1

Hello Friend !

The answer is given below :

Let the sides of the equilateral triangle be 'a' .

Then according to the question, a + a + a = 42 cm

⇒ 3a = 42 

⇒ a = 14 cm 

This is answer to part 1 of the question.

Since we know that the area of the equilateral triangle is $\frac{ \sqrt{3} }{4} a^{2}$

⇒ Area = $\frac{\sqrt{3} }{4} * 14^{2}$ 

⇒ Area = 49√3 = 85.26 cm²

This is answer to part 2 of the question.

Since we know that each angle of equilateral triangle is equal, then by angle sum property of a triangle :

⇒ Ф +  Ф + Ф = 180°

⇒ 3Ф = 180°

⇒ Ф = 60°

This is answer to part 3 of the question.

Hope this helps !