The length of the hypotenuse of a right triangle is 13 cm. The length of one leg is 5 cm. Find the length of the other leg.
a. 8 cm
b. 21 cm
c. 15 cm
d. 225 cm
I got 15, but can someone check my answers? Thanks!
Oh, I put the answers from a different question here, my bad!!
None of the choices is correct.
a^2 + b^2 = c^2
5^2 + b^2 = 13*2
25 + b^2 = 169
b^2 = 144
b = 12
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b) of the right triangle.
So, in this case, we have:
c^2 = a^2 + b^2
Substituting the given values:
13^2 = 5^2 + b^2
Simplifying:
169 = 25 + b^2
Subtracting 25 from both sides:
144 = b^2
To find the length of the other leg (b), we need to find the square root of both sides:
b = √144
Evaluating the square root of 144:
b = 12
Therefore, the length of the other leg is 12 cm.
Now, let's check your answer options:
a. 8 cm - Not the correct answer
b. 21 cm - Not the correct answer
c. 15 cm - Not the correct answer
d. 225 cm - Not the correct answer
So, your answer of 15 cm is incorrect. The correct length of the other leg of the right triangle is 12 cm.