Final answer:
To find the values of a and b in a right triangle ABC, with ∠C = 90°, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. However, additional information or measurements are needed to determine the values of a and b.
Step-by-step explanation:
The given problem is asking to solve the right triangle ABC, with ∠C = 90°, and given that AB = a cm and BC = b cm. To find the values of a and b, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using the Pythagorean theorem, we have a² + b² = c², where c is the hypotenuse. Since ∠C = 90°, c is the side opposite to the right angle. Therefore, c = AB.
To find the values of a and b, we need more information or measurements of the angle or the lengths of the other sides of the triangle.