Question

PLEASE HELP!! :(

Asher cut five sets of boards to build triangular tables. Which of the following sets of side lengths would form tables shaped like a right triangle?

27 in, 36 in, 45 in
10 in, 24 in, 26 in
18 in, 22 in, 28 in
20 in, 21 in, 31 in
28 in, 45 in, 53 in

Answer 1

They would all make triangles.
The triangle inequality rule states that the sum of the lengths of each pair of sides must be greater than or equal to the third side.
If you test the two smaller lengths and it works than the other lengths will work.
27+36>45
10+24>26
18+22>28
20+21>31
28+45>53

Answer 2

27 in, 36 in, 45 in

10 in, 24 in, 26 in

28 in, 45 in, 53 in

The first three options.

Explanation: