A triangle has an area of 369.25 square inches. The height of the triangle is 42.2 inches. What is the length of the base of the triangle?

Respuesta :

Step-by-step explanation:

[tex]1 \div 2 \times base \times height = area[/tex]

[tex]1 \div 2 \times x \times 42.2 = \ 369.25 \[/tex]

[tex]x = 369.25 \div 21.1[/tex]

[tex] = 17.5[/tex]

Answer:

Base = 17.5 inches.

Step-by-step explanation:

Given  : A triangle has an area of 369.25 square inches. The height of the triangle is 42.2 inches.

To find : What is the length of the base of the triangle.

Solution : We have given

Area of triangle = 369.25 square inches.

Height =  42.2 inches.

Area of triangle = [tex]\frac{1}{2}*base*height[/tex].

Plugging the values.

369.25 =  [tex]\frac{1}{2}*base*42.2[/tex].

On multiplying both sides by 2

369.25 * 2 = base * 42.2

738.5 = base * 42.2

On dividing both sides by 42.2

Base = 17.5 inches.

Therefore, Base = 17.5 inches.