Given: ΔKLM, KL = LM = 13in, KM = 10in. Find: The area of ΔKLM
I got for the area 12√34 but its wrong :(
you should have remembered the 5-12-13 right triangle. The altitude is 12.
So, the area is 5*12 = 60
Steve is correct
How did you get 12 as the altitude
Pythagorean Theorom
To find the area of triangle ΔKLM, we can use Heron's Formula. Heron's Formula states that for a triangle with side lengths a, b, and c, the area (A) can be calculated using the following formula:
A = √(s * (s - a) * (s - b) * (s - c))
where s is the semiperimeter, given by:
s = (a + b + c) / 2
In this case, we have KL = 13in, LM = 13in, and KM = 10in.
First, calculate the semiperimeter:
s = (KL + LM + KM) / 2
= (13 + 13 + 10) / 2
= 36 / 2
= 18in
Next, substitute the values into Heron's Formula to find the area:
A = √(18 * (18 - 13) * (18 - 13) * (18 - 10))
= √(18 * 5 * 5 * 8)
= √(18 * 200)
= √3600
= 60in²
Therefore, the correct area of triangle ΔKLM is 60 square inches.