Question

Could you help me solve the following? Can you explain your answer it will help a lot

Answer 1

b ≈ 98.64 mm

Explanation:

using Pythagoras' identity in the right triangle

a² b² = c²

where c is the hypotenuse and a, b the 2 legs

Before using the theorem we require the legs to be the same units of measure.

converting the leg 12.7 cm to mm

using the conversion

1 cm = 10 mm

12.7 cm = 12.7 × 10 = 127 mm

then with a = 80 mm and c = 127 mm

substituting these values

80² + b² = 127²

6400 + b² = 16129 ( subtract 6400 from both sides )

b² = 9729 ( take square root of both sides )

`√(b^2)` =
`√(9729)` , then

b ≈ 98.64 mm ( to 2 decimal places )