If the equation 182 + b2 = 302
is found to be true, what do we know about the triangle?
Responses
The triangle is a right triangle, and the hypotenuse is 18.
The triangle is a right triangle, and the hypotenuse is 18. - no response given
The triangle is a right triangle with a missing side of 34.99.
The triangle is a right triangle with a missing side of 34.99. - no response given
The triangle is a right triangle, and the legs are 30 and 24.
The triangle is a right triangle, and the legs are 30 and 24. - incorrect
Show the work
To determine what we know about the triangle, we need to solve for b using the given equation.
182 + b^2 = 302
Subtract 182 from both sides:
b^2 = 120
Taking the square root of both sides:
b = √120
Simplifying the square root:
b ≈ 10.95
Therefore, we know that the missing side of the triangle (represented by b) is approximately 10.95.