If the equation 18^2 + b^2 = 30^2 is found to be true, what do we know about the triangle? (1 point) O The triangle is a right triangle, and the legs are 30 and 24. • The triangle is a right triangle, and the hypotenuse is 18. • The triangle is a right triangle with a missing leg length of 24. • The triangle is a right triangle with a missing side of 34.99.
The correct answer is: The triangle is a right triangle, and the legs are 30 and 24.
To determine what we know about the triangle based on the equation 18^2 + b^2 = 30^2, we can solve for b.
First, let's simplify the equation:
18^2 + b^2 = 30^2
324 + b^2 = 900
Next, let's isolate b^2 by subtracting 324 from both sides of the equation:
b^2 = 900 - 324
b^2 = 576
To find b, we can take the square root of both sides of the equation:
b = √576
b = 24
Therefore, we know that the missing leg length of the triangle is 24. So the correct answer is: The triangle is a right triangle with a missing leg length of 24.
To determine what we know about the triangle, let's analyze the equation 18^2 + b^2 = 30^2.
To start, we can simplify the equation by calculating the square values:
324 + b^2 = 900.
Next, subtract 324 from both sides:
b^2 = 900 - 324,
b^2 = 576.
Now, we take the square root of both sides to solve for b:
√(b^2) = √576,
b = ±√576.
Since b represents the length of a side of a triangle, we can eliminate the negative square root and take the positive square root:
b = √576,
b = 24.
Therefore, the length of one of the legs of the triangle is 24. However, we cannot immediately determine the other leg length or the hypotenuse based solely on the given equation.
Therefore, the correct answer is: The triangle is a right triangle with a missing leg length of 24.
What is a converse of a theorem that is an if-then statement? (1 point)
The converse of a theorem has no relationship to the original theorem
The if part and the then part switch places.
The two parts are negated by using the word not
The converse is the same as the onginal theorem.