Question

Solve the problems below. Please answer with completely simplified exact value(s) or expression(s). Given: ΔKLM, KL = LM = 13in, KM = 10in. Find: The area of ΔKLM

Answer 1

Area of KLM is 58.5 sq inches

Answer 2

60 square inches

Explanation:

In triangle KLM, KL = LM = 13in, KM = 10in. Use the Heron's formula to find the area:

`A=√(p(p-a)(p-b)(p-c)),`

where p is half of the perimeter and a, b, c are sides lengths.

Then

`(a+b+c)/(2)=(13+13+10)/(2)=18\ in`

and

`A=√(18\cdot (18-13)\cdot (18-13)\cdot (18-10))=√(18\cdot 5\cdot 5\cdot 8)=5√(9\cdot 2\cdot 4\cdot 2)=5\cdot 3\cdot 2\cdot 2=60\ in^2.`