Question

A right triangle has a leg measuring 24 units. Which of these statements are correct?

Select all that apply. Pick up to 2 answers.

1. If the length of the hypotenuse is 26 units, the length of the other leg is 100 units
2. If the length of the hypotenuse is 25 units, the length of the other leg is 7 units.
3. If the length of the hypotenuse is 30 units, the length of the other leg is 18 units.
4. If the length of the hypotenuse is 28 units, the length of the other leg is 14 units.

Answer 1

19.7 ft

Explanation:

This problem is solved using the Pythagorean theorem (a2+b2=c2). In this formula a and b are the legs of the right triangle while c is the hypotenuse.

Using the labels of our triangle we have:

o2+a2=h2

\dpi{100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

→19.7ft

Answer 2

1 and 4

Explanation: