If the lengths of two sides of a right triangle are 5 and 12 units, what is the least possible length, in units, of the third si

Question

3 years ago

11

de? Express your answer in simplest radical form.

2 answers:

miskamm [114] · Answer 1 · 2022-03-15T05:38:00+03:00

6 0

Answer:

13

Step-by-step explanation:

timofeeve [1] · Answer 2 · 2022-03-15T03:49:46+03:00

timofeeve [1]3 years ago

3 0

(leg)^2 + (leg)^2 = (hypotenuse)^2

(5)^2 + (12)^2 = (h)^2

25 + 144 = (h)^2

169 = (h)^2

sqrt{169} = sqrt{(h)^2}

-13 = h

13 = h

We reject h = -13 because length is a distance and distance cannot be negative.

So, h = 13 units is the answer.