Atriangle has side lengths of 11 cm, 60 cm, and 61. which is the correct equation to verify whether the side lengths form a right triangle?
fast !

You would use the Pythagorean Theorem

a^2 + b^2 = c^2

The sides 'a' and 'b' are the legs of the right triangle. The side c is the hypotenuse or the longest side. In this case, the longest side is c = 61. The other two sides are a = 11 and b = 60. The order of 'a' and 'b' does not matter.

Let's use the substitution property to plug in the given values mentioned and we will get...

a^2 + b^2 = c^2

11^2 + 60^2 = 61^2

121 + 3600 = 3721

3721 = 3721

We get the same number on both sides; therefore, the original equation is true when (a,b,c) = (11,60,61).

This all confirms we do have a right triangle. The right angle is opposite the hypotenuse. This is due to the rule that the largest angle of a triangle is always opposite the largest side.

good luck on your studies! : )

david edward.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).