The correct answer is B: The triangle is a right triangle with a missing leg length of 24.
The equation 18^2 + b^2 = 30^2 represents the Pythagorean theorem, which 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 two legs. In this equation, 18^2 and 30^2 represent the squares of the lengths of the legs and b^2 represents the square of the length of the hypotenuse.
By rearranging the equation, we can see that b^2 = 30^2 - 18^2.
Calculating this, we get b^2 = 900 - 324 = 576.
Taking the square root of both sides, we find that b = √576 = 24.
Therefore, we know that the triangle is a right triangle with a missing leg length of 24.
If the equation 18^2 + b^2 = 30^2 is found to be true, what do we know about the triangle?
A: The triangle is a right triangle with a missing side of 34.99.
B: The triangle is a right triangle with a missing leg length of 24.
C: The triangle is a right triangle, and the hypotenuse is 18.
D: The triangle is a right triangle, and the legs are 30 and 24.
1 answer
1 answer