Question

Need help for #4... i dont get it

Answer 1

Since the triangle is equilateral and you need to find the area and the sides are 13’ each, you need to multiply those two sides together to get the area.

Answer 2

59.75 units^2 (answer c)

Explanation:

Here you have three sides all measuring 13 units. To find the area of the triangle, you must apply the formula A = (bh)/2 or (1/2)bh.

The base would be 13. Using the fact that the sides all measure 13 units, you must find the height of the triangle. Since all of the interior angles of this triangle are 60 degrees, the height would be found using the sine function with h as the opposite side, 60 degrees as the angle and 13 as the hypotenuse:

h = 13sin 60 degrees

√3 13√2

= 13 --------- = ----------- = approx. 9.19

2 2

The area of this triangle would be (1/2) b h, or

A = (1/2)(13)(9.19) = 59.75 units^2

This result is closest to answer c.