the hypotenuse of a right triangle is 15 cm and the shorter leg is 9cm find the length of the other leg
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Hypotenuse = 15 cm
shorter leg = 9 cm
Find the length of the other leg.
Pythagorean theorem:
a^2 + b^2 = c^2
Since we are asked to find the other leg, we will solve for b.
b^2 = c^2 - a^2
b = √(c^2 - a^2)
Solution:
Substitute the given values of a, and c to the formula of the Pythagorean theorem.
b = √(c^2 - a^2)
b = √((15)^2 - (9)^2)
b = √(225 - 81)
b = √144
b = 12
Final answer:
Other leg = 12cm