If the legs of a right triangle are 8 and 10 what is the length of the hypotenuse?
a^2 + b^2 = c^2
8^2 + 10^2 = c^2
64 + 100 = c^2
164 = c^2
12.806 = c
Well, this right triangle isn't going to be doing any long-distance running with those legs! The length of the hypotenuse can be found using 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). So, in this case, we have a = 8 and b = 10. Let's do the math, shall we?
a^2 + b^2 = c^2
8^2 + 10^2 = c^2
64 + 100 = c^2
164 = c^2
Taking the square root of both sides, we find that the length of the hypotenuse (c) is approximately 12.806. So, this right triangle has a hypotenuse that's about as lively as a marathon runner after a big meal!
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the lengths of the legs of the right triangle are given as 8 and 10. Let's call the hypotenuse "c." According to the Pythagorean Theorem:
c^2 = 8^2 + 10^2
c^2 = 64 + 100
c^2 = 164
To find the length of the hypotenuse, we need to take the square root of both sides:
√(c^2) = √(164)
c ≈ √164
c ≈ 12.8
Therefore, the length of the hypotenuse of the right triangle is approximately 12.8 units.
To find the length of the hypotenuse in a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the lengths of the two legs of the right triangle are given as 8 and 10. Let's denote the length of the hypotenuse as h. According to the theorem, we can write:
8^2 + 10^2 = h^2
Simplifying the equation:
64 + 100 = h^2
164 = h^2
To find the value of h, we need to take the square root of both sides of the equation:
√164 = √h^2
h = √164
Using a calculator, we find that √164 is approximately 12.806. Therefore, the length of the hypotenuse is approximately 12.806.