The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other leg.
A. 6cm
B. 12cm
C. 17cm ***My answer***
D. 144cm
the answer is B. 12 cm
:) hope i help!
No incorrect. Use a^2 + b^2 = c^2. C is the length of the hypotenuse. So solve for a or b. Plug in 9 as a or b and 12 as c then solve for the unknown
Thankz
Two things to keep in mind:
1. a 3 4 5 triangle is a right triangle. This is one
3*3 , 4*3, 5*3
2. The hypotenuse is ALWAYS the longest side of a right triangle.
To find the length of the other leg of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's assume the length of the other leg is x cm. According to the given information:
Length of hypotenuse (c) = 15 cm
Length of one leg (a) = 9 cm
Using the Pythagorean theorem:
c^2 = a^2 + b^2
15^2 = 9^2 + x^2
225 = 81 + x^2
225 - 81 = x^2
144 = x^2
To find x, we need to take the square root of both sides:
√144 = √x^2
12 = x
So, the length of the other leg is 12 cm. Therefore, the correct answer is B. 12cm.