Determine whether the following lengths represent a right triangle. 5. 8. 9

This is not a right triangle

Step-by-step explanation:

To determine if these lengths are a right triangle we can use the Pythagorean Theorem

a^2 + b^2 = c^2

so

5^2 +8^2 = 9^2

25+64=81

25+64 is not 81, it is 89

Therefore, this triangle is not a right triangle

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.