solve for the length of the unknown side in the following right triangle. Side AB is eight side AC is 10.( AC is the hypotenuse
To solve for the length of the unknown side, let's use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's label the unknown side as x.
Applying the Pythagorean theorem, we have:
8^2 + x^2 = 10^2
64 + x^2 = 100
To isolate x^2, subtract 64 from both sides:
x^2 = 100 - 64
x^2 = 36
To solve for x, take the square root of both sides:
x = √36
x = 6
Therefore, the length of the unknown side is 6.
To find the length of the unknown side, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two legs (the sides that form the right angle) is equal to the square of the hypotenuse.
In this case, side AB is one of the legs and has a length of 8, while side AC is the hypotenuse and has a length of 10. Let's represent the length of the unknown side as x.
According to the Pythagorean theorem:
AB^2 + x^2 = AC^2
Plugging in the known values:
8^2 + x^2 = 10^2
64 + x^2 = 100
To solve for x, subtract 64 from both sides:
x^2 = 100 - 64
x^2 = 36
To solve for x, take the square root of both sides:
x = √36
x = 6
Therefore, the length of the unknown side (side BC) is 6.