What is the length of the missing leg? If necessary, round to the nearest tenth.
2 answers:
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 = 
≈ 8.7 ( to the nearest tenth )
<u>Answer:</u>
-
The length of the hypotenuse is 40 mm.
<u>Step-by-step explanation:</u>
<em>We can solve for 'a' using Pythagoras theorem. Let's solve it.</em>
-
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.
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