If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 13 cm, find the length of the longer leg.
the answer is 12 cm
a^2 + b^2 = c^2
learn to recognize a few basic Pythagorean triples, and their multiples:
3-4-5
5-12-13
7-24-25
and so on
wat ansewr pls
What is the answer
To find the length of the longer leg of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
Let's identify the shorter leg, which is given as 5 cm, and the hypotenuse, which is given as 13 cm. Let's call the longer leg "x".
According to the Pythagorean theorem, we have:
(Shorter leg)^2 + (Longer leg)^2 = (Hypotenuse)^2
Substituting the given values, we get:
5^2 + x^2 = 13^2
Simplifying the equation:
25 + x^2 = 169
To solve for x^2, we subtract 25 from both sides:
x^2 = 169 - 25
x^2 = 144
To find x, we take the square root of both sides:
x = √(144)
x = 12
Therefore, the length of the longer leg of the right triangle is 12 cm.