If the equation 18^2 + b^2? = 30^2 is found to be true, what do we know about the triangle?

(1 point)
• The triangle is a right triangle, and the hypotenuse is 18.
• The triangle is a right triangle with a missing side of 34.99.
• The triangle is a right triangle, and the legs are 30 and 24.
• The triangle is a right triangle with a missing leg length of 24.

1 answer

The correct answer is: The triangle is a right triangle, and the legs are 30 and 24.

In the equation 18^2 + b^2 = 30^2, the values of 18, 30, and b represent the lengths of the sides of a triangle. Since the equation is showing the Pythagorean theorem (a^2 + b^2 = c^2), where a and b are the legs and c is the hypotenuse of a right triangle, we can determine that this triangle is a right triangle. The equation also tells us that one leg is 18 units long (18^2 = 324) and the other leg is b units long. The hypotenuse is 30 units long (30^2 = 900). Therefore, the triangle is a right triangle, and the legs are 30 and 24.