Question

Find the length of the third side. If necessary, round to the nearest tenth.
12

Answer 1

15

Explanation:

Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.

pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.

12²+9²=225

Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.

√225 = 15

Answer 2

Answer: 15

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Work Shown:

a = 9, b = 12 are the two legs of the right triangle

c = unknown is the hypotenuse

Apply the pythagorean theorem to find c

a^2 + b^2 = c^2

9^2 + 12^2 = c^2

81 + 144 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15