Question

Rosemary is cutting 3 wooden sticks to build part of a kite frame. The part she is building must be a right triangle, which choice below could be the length , in inches of sticks Rosemary cut5,6,72,352,5,106,8,10

Answer 1

ANSWER

6, 8, 10

EXPLANATION

In a right triangle, the longest side is always the hypotenuse of the triangle.

The legs and hypotenuse are related by the Pythagorean theorem,

Thus, to know if a set of three lengths can form a right triangle, we have to check if the sum of the squares of the shortest lengths is equal to the square of the longest side:

$\begin{cases}(5,6,7)\to5^2+6^2=61\ne7^2 \\ \\ (2,3,5)\to2^2+3^2=13\ne5^2 \\ \\ (2,5,10)\to2^2+5^2=29\ne10^2 \\ \\ (6,8,10)\to6^2+8^2=100=10^2\end{cases}$

Hence, the set of lengths that Rosemary cut for the kite frame is 6, 8, 10 because is the only combination - of these options, that can form a ri