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2 years ago

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

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

7 0

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 )

meriva2 years ago

6 0

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.

$BrainiacUser1357$

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