select the correct answer.\none leg of a right triangle is 10 units, and its hypotenuse is 12 units. what is…
select the correct answer.\none leg of a right triangle is 10 units, and its hypotenuse is 12 units. what is the length of the other leg?\na. about 7 units\nb. about 15 units\nc. about 25 units\nd. about 122 units\ne. about 224 units
Answer
Explanation:
Step1: Apply Pythagorean theorem
Let (a = 10), (c=12), and (b) be the unknown leg. By (a^{2}+b^{2}=c^{2}), we get (b^{2}=c^{2}-a^{2}).
Step2: Substitute values
Substitute (a = 10) and (c = 12) into (b^{2}=c^{2}-a^{2}), so (b^{2}=12^{2}-10^{2}=144 - 100=44).
Step3: Solve for (b)
Take square - root of (b^{2}=44), (b=\sqrt{44}\approx6.63\approx7)
Answer:
A. about 7 units