Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
289 = c^2
17 = c
hyp^2=64+225
solve for hyp
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides.
Let's label the legs of the triangle as side A and side B, and the hypotenuse as side C.
In this case, side A has a length of 8 units and side B has a length of 15 units.
Using the Pythagorean theorem, we can calculate the length of side C:
C^2 = A^2 + B^2
C^2 = 8^2 + 15^2
C^2 = 64 + 225
C^2 = 289
To find the length of side C, we need to take the square root of both sides of the equation:
√(C^2) = √289
C = √289
C = 17
Therefore, the length of the hypotenuse is 17 units.
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 length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
In this case, the lengths of the legs are given as 8 units and 15 units. Let's call the length of the hypotenuse "c". According to the Pythagorean theorem, we have:
c^2 = 8^2 + 15^2
Simplifying this equation, we get:
c^2 = 64 + 225
c^2 = 289
To find the length of the hypotenuse, we need to take the square root of both sides of the equation:
c = √289
The square root of 289 is 17. Therefore, the length of the hypotenuse is 17 units.