How do you find the area of the triangle when 24ft tall and the hypotenuse is 26ft?
1 Answer
Oct 9, 2015
The area would be
Explanation:
Pythagorean Theorem says this for triangle side lengths:
a^2 + b^2 = c^2a2+b2=c2
c being the hypotenuse and a/b being the leg lengths
Therefore, we can plug in 26 for c, 24 for a, and solve for b, which will be the base.
24^2 + b^2 = 26^2242+b2=262
576 + b^2 = 676576+b2=676
b^2 = 100b2=100
b = 10b=10
Now that we know the base length, and the height, we can use the area for a triangle:
1/2bh = A12bh=A
Let's plug in the remaining variables and solve for the answer.
1/2(10)(24) = A12(10)(24)=A
240/2 = A2402=A
120 = A120=A
Put your units on (
Hope this helped!