To find the unknown side length in a right triangle, we can 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 sides of the right triangle as follows:
The first side (adjacent to the right angle) is 20.
The second side (opposite to the right angle) is the unknown side length, let's call it x.
The hypotenuse is 30.
Using the Pythagorean theorem, we can write the equation:
20^2 + x^2 = 30^2
Simplifying:
400 + x^2 = 900
Subtracting 400 from both sides:
x^2 = 500
Taking the square root of both sides:
x ≈ √500
Rounding the square root of 500 to the nearest hundredth:
x ≈ 22.36
Therefore, the unknown side length (rounded to the nearest hundredth) is approximately 22.36.
find the unknown side length in the given triangle round to the nearest hundredth.
its a right triangle with the first side being 20 and the next is a 30
1 answer
1 answer