165k views
1 vote
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​

User Roul
by
8.3k points

1 Answer

4 votes

Answer:

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

User GEkk
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories