Solving a right triangle means finding the missing lengths of its sides and the measurements of its angles.Group of answer choicesTrueFalse

Answer

True.

Solving a right triangle involves determining the lengths of the sides and the measurements of the angles. In a right triangle, one angle is always 90 degrees, and the other two angles must sum to 90 degrees as well. The relationship between the sides and angles is governed by several important principles, such as the Pythagorean theorem, which states that in a right triangle with legs $a$ and $b$, and hypotenuse $c$:

$c^2 = a^2 + b^2$

Additionally, the trigonometric ratios (sine, cosine, and tangent) can be employed to find missing angles when some side lengths are known. Specifically, for angle $A$:

$\sin A = \frac{\text{opposite}}{\text{hypotenuse}}, \quad \cos A = \frac{\text{adjacent}}{\text{hypotenuse}}, \quad \tan A = \frac{\text{opposite}}{\text{adjacent}}$

Thus, solving a right triangle indeed means finding both the missing side lengths and the angles, confirming that the statement is true.