Q:

Given: ΔKLM, KL = LM = 13in, KM = 10in. Find: The area of ΔKLM.Please explain will give brainliest!

Accepted Solution

A:
Answer:[tex]60 in^{2}[/tex]Step-by-step explanation:We are given a ΔKLM, in which KL=LM=13 in and KM=10 in which means two sides of the given triangle are same and thus is an isosceles triangle.Its median drawn from L to the KM will be altitude. Therefore, ΔKLN and ΔLMN are right triangles.In ΔKLN, using the pythagoras property, we have[tex]13^{2}=5^{2}+LN^{2}[/tex][tex]169-25=LN^{2}[/tex][tex]\sqrt{144} =LN[/tex][tex]12=LN[/tex]Now, Area of triangle= 1/2×base×height                                    =1/2×10×12                                    =60 squared inches.