the legs of the legs of a right triangle are 7 and 8 what is the approximate length of the hypotneuse
√(7^2 + 8^2) = ____
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the legs of the right triangle are given as 7 and 8. So, you can apply the Pythagorean theorem as follows:
Hypotenuse^2 = Leg1^2 + Leg2^2
Hypotenuse^2 = 7^2 + 8^2
Hypotenuse^2 = 49 + 64
Hypotenuse^2 = 113
To find the approximate length of the hypotenuse, you need to take the square root of both sides:
Hypotenuse ≈ sqrt(113)
Hypotenuse ≈ 10.63
Therefore, the approximate length of the hypotenuse is 10.63.
To find the approximate length of the hypotenuse of a right triangle with legs measuring 7 and 8, you can use the Pythagorean theorem, which states that the square of the hypotenuse length is equal to the sum of the squares of the two legs.
The Pythagorean theorem can be written as follows:
c^2 = a^2 + b^2
Where c represents the length of the hypotenuse, and a and b represent the lengths of the two legs of the right triangle.
In this case, the lengths of the legs are given as 7 and 8. Plugging these values into the equation, we have:
c^2 = 7^2 + 8^2
Simplifying the equation:
c^2 = 49 + 64
c^2 = 113
To find the approximate length of the hypotenuse (c), we need to take the square root of both sides of the equation:
√(c^2) = √(113)
Calculating the square root of 113 using a calculator or approximation methods, the approximate length of the hypotenuse is:
c ≈ 10.63