Question

What is the length of the missing leg? If necessary, round to the nearest tenth.

10mm
6mm
b

b=____milllimeters

Answer 1

The missing leg (b) is approximately 6.0 millimeters.

We can solve for the missing leg (b) using the Pythagorean Theorem, which states:

`a^2 + b^2 = c^2`

where:

a and b are the lengths of the two legs of a right triangle

c is the length of the hypotenuse (the side opposite the right angle)

In this case:

a = 10 mm (given)

b = unknown (what we are solving for)

c = 6 mm (given)

Substituting the known values, we get:

`10^2 + b^2 = 6^2`

Solving for b, we get:

`b^2 = 6^2 - 10^2`

b^2 = 100 - 64

b^2 = 36

b = √36

b ≈ 6.0 mm (rounded to the nearest tenth)

Therefore, the missing leg (b) is approximately 6.0 millimeters.