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.
