Question

20

bubblez20133
state if 3 side lengths form acute, obtuse, or right triangle.
(14 yd, 17yd, 14√2yd) and (7ft, 7ft, √149ft) Please help me I don't know what to do!

Answer 1

First, we have to know the theorem.

If a, b, and c represent the lengths of the sides of a triangle, and c is the longest length, then the triangle is obtuse if c^2 > a^2 + b^2.

Answer 2

If a, b, and c represent the lengths of the sides of a triangle, and c is the longest length, then the triangle is acute if c^2 < a^2 + b^2.

Answer 3

So, we have to test the squares of the sides.

Answer 4

how

Answer 5

(14 yd, 17yd, 14√2
-----------------

(14√2)^2 compare to 14^2 + 17^2

392 compare to 196 + 289

Which side is larger: 392 or 485 ?

Answer 6

obtuse if c^2 > a^2 + b^2

acute if c^2 < a^2 + b^2

392 < 485

Triangle is acute.

Answer 7

√149, 7, 7

Is (√149) ^2 greater or less than 7^2 + 7^2 ?

@bubblez20133

Answer 8

oh ok thank you so much