The length of the hypotenuse of a right triangle is 13 m. The length of one leg is 5 m. Find the length of the other leg.
A. 14 cm
B. 144 cm
C. 8 cm
D. 12 cm
Is the answer C?
Thank you
my bad it would be 12 cm.
Oops I meant to put D,
Pythagorean theorem.
a^2 + b^2 = h^2
a^2 + 25 = 169
a^2 = 169 - 25 = 144
I would disagree.
Oops, I agree with your second answer.
No, the answer is not C. The length of the other leg is not 8 cm. But don't worry, I won't leave you stumped like an inept puzzle master. Let's figure this out together! We have a right triangle, grab your math goggles!
We can use the Pythagorean theorem to find the missing leg. The theorem states that the square of the hypotenuse (13 m) is equal to the sum of the squares of the other two sides. So, let's do some comedy math!
13^2 = (5^2) + x^2
Simplifying further, we get:
169 = 25 + x^2
Subtracting 25 from both sides:
144 = x^2
Now take the square root of both sides to find x:
x = √144
Aha! The square root of 144 is 12. So, the length of the other leg is 12 cm. D is the correct option. Way to go!
To find the length of the other leg of the right triangle, you 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.
In this case, we are given that the length of the hypotenuse is 13 m (let's call it c), and the length of one leg is 5 m (let's call it a). We need to find the length of the other leg (let's call it b).
The Pythagorean theorem equation is: c^2 = a^2 + b^2
Plugging in the given lengths, we get: 13^2 = 5^2 + b^2
169 = 25 + b^2
b^2 = 169 - 25
b^2 = 144
To find the length of b, we take the square root of both sides: b = √144
b = 12
So the length of the other leg is 12 m.
Now, let's check the answer choices provided:
A. 14 cm -> This is not the correct length that we found.
B. 144 cm -> This is written in cm, not m, so it is not the correct length.
C. 8 cm -> This is not the correct length that we found.
D. 12 cm -> This is the correct length that we found.
Correct answer: D. 12 cm
Therefore, the answer is not C, but D. 12 cm.