Question

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

Answer 1

Answer:

a ≈ 8.7 units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

a² + 5² = 10²

a² + 25 = 100 ( subtract 25 from both sides )

a² = 75 ( take square root of both sides )

a = $\sqrt{75}$ ≈ 8.7 ( to the nearest tenth )

Answer 2

Answer:

• The length of the hypotenuse is 40 mm.

Step-by-step explanation:

We can solve for 'a' using Pythagoras theorem. Let's solve it.

• 10² = 5² + a²
• => 100 = 25 + a²
• => a² = 75
• => a = 8.660
• => a = 8.7

Hence, the length of the hypotenuse is 8.7 m.

Hoped this helped.

$BrainiacUser1357$