Question

Find the missing sides in the following right triangles. Round your answers to the nearest tenth.

A. Triangle 1: a=9.2,b=14.2; Triangle 2: a=12.4,b=16.7
B. Triangle 1: a=10.0,b=15.0; Triangle 2: a=11.8,b=18.3
C. Triangle 1: a=7.8,b=11.6; Triangle 2: a=14.6,b=17.3
D. Triangle 1: a=8.6,b=13.4; Triangle 2: a=10.9, b=19.2

Answer 1

To find the missing sides of a right triangle, use the Pythagorean theorem. Apply the formula c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides. Round the answers to the nearest tenth.

Step-by-step explanation:

To find the missing sides of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. The formula is: c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.

For each triangle given, you can use the formula to find the missing side. Round your answers to the nearest tenth.

For example, in Triangle 1 with a = 9.2 and b = 14.2, you can find the missing side using the formula: c = √(9.2² + 14.2²) ≈ 17.0. So the missing side is approximately 17.0.