61,876 views
31 votes
31 votes
Find the missing side length to the nearest tenth of a millimeter. Enter your answer in the box.

Find the missing side length to the nearest tenth of a millimeter. Enter your answer-example-1
User Antony West
by
2.8k points

1 Answer

12 votes
12 votes

Answer:

≈ 4.7 mm

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.

let x be the missing side , then

x² + 5.2² = 7²

x² + 27.04 = 49 ( subtract 27.04 from both sides )

x² = 21.96 ( take square root of both sides )

x =
√(21.96) ≈ 4.7 mm ( to the nearest tenth )

User Brandeded
by
2.7k points