Question

Find the approximate area of /CDE. A. 48.3 square units B. 59.8 square units C. 64.6 square units D. 75 square units

Triangle:

Line CE =15

Line ED =12

Line CD =10

Answer 1

B

Explanation:

To calculate the area of this triangle we can use the Heron’s formula

Mathematically we have the Heron’s formula as;

A = √s(s-a)(s-b)(s-c)

where s = (a + b + c)/2

Thus, s = (15 + 12+ 10)/2 = 18.5

a = 15, b = 12 and c = 10

Plugging these values into the equation, we have

√18.5(18.5-15)(18.5-12)(18.5-10)

= √18.5(3.5)(6.5)(8.5)

= √ 3,577.4375

A = 59.8116

which is approximately 59.8 square units