How to find hypotenuse on right triangle if opposite side is 4 and adjacent side is 7
To find the hypotenuse of a right triangle when the lengths of the two other sides (the opposite side and the adjacent side) are known, 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 other two sides.
In this case, the opposite side is 4 and the adjacent side is 7. To find the length of the hypotenuse (let's call it 'c'), we can use the formula:
c^2 = 4^2 + 7^2
c^2 = 16 + 49
c^2 = 65
To find the length of c, we take the square root of both sides of the equation:
c = √65
Using a calculator, we find that the length of the hypotenuse is approximately 8.06 units.
Therefore, the hypotenuse of the right triangle with an opposite side length of 4 and an adjacent side length of 7 is approximately 8.06 units.