Which sets of side lengths of a triangle can form a right triangle?

Question

I) 7m, 24 m, 25 m
II) 24cm, 45 cm, 51 cm
III) 10 km, 24 km, 28 km

I and II only

II and III only

I and III only

I, II, and III

Answer 1

Use the Pythagorean Theorem to solve this. If the sides of the triancle are A, B and C -- with C being the length of the longest side, then the triangle is a right triangle if and only if:

A^2 + B^2 = C^2

Does (7*7 + 24*24) = 25*25? -- Yes -- so it is a right triangle
Does (24*24 + 45*45) = 51*51? -- Yes -- so it is a right triangle
Does (10*10 + 24*24) = 28*28? -- No-- so it is not a right triangle

Answer 2

The pythagorean theorum is that the square of the hypoteneuse of a right triangle equals the sum of the squares of the other two sides. (In other words, a squared plus b squared equals c squared.) so: square each of the numbers, see if the sum of the two smaller ones equals the third. A calculator would of course come in very handy.

Answer 3

1 and 2 only. Use the pythagorean theorem

Answer 4

Go with taranto, I ain't doing the math but her equation is right