Question

Find the missing lengths in the triangle. Round to the nearest tenth if necessary.

a = 7.5 cm, b = 10.6 cm
a = 13 cm, b = 7.5 cm
a = 7.5 cm, b = 13 cm
a = 5 cm, b = 13 cm

Answer 1

Given that these triangle are right triangles, we use the Pythagorean theorem to calculate the missing lengths which is c and it is the hypotenuse. We calculate as follows:

a = 7.5 cm, b = 10.6 cm
c² = a² + b²
c² = 7.5² + 10.6²
c = 12.98

a = 13 cm, b = 7.5 cm
c² = a² + b²
c² = 13² + 7.5²
c = 15.00

a = 7.5 cm, b = 13 cm
c² = a² + b²
c² = 7.5² + 13²
c = 15.00

a = 5 cm, b = 13 cm
c² = a² + b²
c² = 5² + 13²
c = 14