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Look at triangle ABC:


A right triangle ABC is shown with the right angle at B. The length of side AB is labeled as 14 mm, and the length of side BC is labeled as 48 mm.


What is the length (in millimeters) of side AC of the triangle?


34 millimeters

50 millimeters

62 millimeters

70 millimeters

Verified Answer :

GeorgiaRose1

Tou should use Pythagoras, the square root of 14 squared plus 48 squared is 50mm.

JeanaShupp

Answer: 50 millimeters

Step-by-step explanation:

The Pythagoras theorem of right triangle say that the longest side is equal to the sum of the squares on the other two sides in the triangle.

The side opposite to the right angle is the longest side of the right triangle.

Given : A right triangle ABC is right angle at B.

The length of side AB = 14 mm

The length of side BC = 48 mm.

If B is the right angle , then the side Ac is the side opposite to angle B which must be the longest side of the triangle .

Then by using the Pythagoras theorem, we have

\(AC^2=AB^2+BC^2\\\\\Rightarrow\ AC^2=(14)^2+(48)^2\\\\\Rightarrow\ AC^2=2500\\\\\Rightarrow\ AC=\sqrt{2500}\\\\\Rightarrow\ AC=50\)

Hence, the the length of side AC of the triangle = 50 millimeters

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