Question

Write yes if the given set of lengths are side lengths of a right triangle. Otherwise write No

a. 6, 8, 10
b. 8, 15, 16
c. 10, 24, 26
d. 20, 21, 28
e. 9, 35, 41​

Answer 1

a) Yes

b) No

c) Yes

d) No

e) No

Explanation:

Right triangle:

The square of the larger side is equals to the sum of the squares of the smaller sides.

a. 6, 8, 10

`6^2 + 8^2 = 36 + 64 = 100 = 10^2`

The answer is yes.

b. 8, 15, 16

`8^2 + 15^2 = 64 + 225 = 289 \\eq 16^2 = 256`

So no.

c. 10, 24, 26

`10^2 + 24^2 = 100 + 576 = 676 = 26^2`

So yes

d. 20, 21, 28

`20^2 + 21^2 = 400 + 441 = 841 \\eq 28^2 = 784`

So no.

e. 9, 35, 41​

`9^2 + 35^2 = 81 + 1225 = 1306 \\eq 41^2 = 1681`