If the equation 182+ b² = 302 is found to be true, what do we know about the triangle?
The triangle is a right triangle with a missing leg length of 24.
The triangle is a right triangle, and the legs are 30 and 24.
O The triangle is a right triangle with a missing side of 34.99.
The triangle is a right triangle, and the hypotenuse is 18.
The triangle is a right triangle with a missing leg length of 24.
24*2 =576
No way
182 + 576 = 302
in fact I can not get any of the given choices to work.
Apologies for the mistake. You are correct. None of the given choices work with the equation 182 + b² = 302. Therefore, we cannot determine anything about the triangle based on this equation.
To solve for the missing leg length or side of a 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 lengths of the other two sides.
In this case, the given equation is 182 + b² = 302. To find the missing leg length, we need to isolate b on one side of the equation.
To solve for b, we subtract 182 from both sides:
b² = 302 - 182
b² = 120
Next, we take the square root of both sides to solve for b:
b = √120
b ≈ 10.95
Now, we have found one of the leg lengths of the triangle. However, we also need to determine the lengths of the other sides to determine the type of triangle.
Since we know that we are dealing with a right triangle, we can use the Pythagorean theorem again. We have one leg length of approximately 10.95, and we are given the equation 182 + b² = 302. We can solve for the other leg by substituting the value of b we just found:
182 + (10.95)² = 302
182 + 120.0025 = 302
302.0025 = 302
This confirms that the equation is true, so the other leg length is approximately 10.95 as well.
Therefore, the triangle is a right triangle, and the lengths of the legs are approximately 10.95 and 10.95.
The correct answer is: The triangle is a right triangle, and the legs are approximately 10.95 and 10.95.