Since both values are equal, hence the triangle with length 5, 12 and height of 12 is right triangle
According to the theorem, the square of the longest side of the triangle is equal to the sum of the square of the other two sides. For instance;
c^2= a^ + b^2
where
c is the longest side
Given the following side lengths 5, 13 and 12
Since 13 is the longest side, hence c = 13 such that;
13^2 = 5^2 + 12^2
Check
5^2 + 12^2 = 25 + 144
5^2 + 12^2 = 169
13^2 = 169
Since both values are equal, hence the triangle with length 5, 12 and height of 12 is right triangle
Learn more on right triangles here: https://brainly.com/question/2217700
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