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12 votes
12 votes
Please help me on thisuse pythagoras' theorem to find the third side

Please help me on thisuse pythagoras' theorem to find the third side-example-1
User JMDE
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1 Answer

22 votes
22 votes

Adjacent = 12

Step-by-step explanation:

The shape is a right angled triangle

Using pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse is the longest side = 13

opposite is the vertical side or the side opposite the angle = 5

Adjacent is the base. it is not given in the question.

So we need to find it.

using the formula:

13² = 5² + adjacent²

169 = 25 + adjacent²

collect like terms:

169 - 25 = adjacent²

144 = adjacent²

square root both sides:

√144 = √( adjacent²)

12 = adjacent

Adjacent = 12

Hence, the value missing side is 12

User Sergey Orshanskiy
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