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For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why?

Respuesta :

meerkat18
Pythagorean theorem:
a² + b² = c²

a is the long leg of the triangle
b is the short leg of the triangle
c is the hypotenuse

side lengths ; 3 inches, 4 inches, 5 inches of a right triangle.

a = 4 inches
b = 3 inches
c = 5 inches

4² + 3² = 5²
16 + 9 = 25
25 = 25

Possible Answer:

The base of a right triangle is shorter then the hypotenuse due to the diagnal of the line being the longest line we can conclude that 5 is the Hypotenuse (C). That would mean that the longest line thats not the hypotenuse(4) is B and the shortest line(3) is A.

Possible Answer Two:

Since the hypotenuse is the longest line in a right triangle we can conclude its length is 5 and the base is 4 and the side length is 3.

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