The lengths of the legs of a right triangle are 8 cm and 15 cm
What is the length of the hypotenuse
Pythagorean theorem
8^2 + 15^2 = h^2
Wait, PsyDAG, what exactly does the sign "^" do?? Does it mean like, to the power of whichever number that you're doing it by??
That is the exponent
Multiply the first two terms by themselves, then add them to get h. Find the square root of h.
So like, 8 x 8, then 15 x 15 and adding whatever you get to get h and then after that you find the square roof of h??
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 (c) is equal to the sum of the squares of the lengths of the two legs (a and b).
In this case, the lengths of the legs are 8 cm and 15 cm, so we can label them as follows:
a = 8 cm (one leg)
b = 15 cm (the other leg)
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Substituting the values, we get:
c^2 = 8^2 + 15^2
c^2 = 64 + 225
c^2 = 289
To find the length of the hypotenuse (c), we need to take the square root of both sides:
c = √289
c = 17
Therefore, the length of the hypotenuse is 17 cm.