Question 539623: it says determine whether each triangle with sides of given lengths is a right triangle the sides of given lengths are 5 inches 10 inches and 12 inches
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! If you recall your multiplication tables, you can tell at first glance that 5, 10, and 12 do not define a right triangle.
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We have the Pythagorean Theorem to guide us in solving right triangles.
c^2 = a^2 + b^2, where c = hypotenuse
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5^2 = 25
10^2 = 100
12^2 = 144
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144 is not equal to 100 + 25
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There are several right triangles worth remembering.
1, 1, sqrt(2) is an isosceles triangle
1, sqrt(3), 2 is a 30-60-90 triangle
3, 4, 5 is a classic that is often used in carpentry
5, 12, 13 is good to remember, too
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done.
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