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15 votes
15 votes
Find the length of the third side. If necessary, round to the nearest tenth. 10 14 ​

Find the length of the third side. If necessary, round to the nearest tenth. 10 14 ​-example-1
User Pquery
by
2.7k points

1 Answer

19 votes
19 votes

Answer:

9.8 units

Step-by-step explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

User Alex Kamaev
by
2.8k points