2. Angles and Angle Measure
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Use the Pythagorean Theorem. Remember that the length of a side cannot be negative.
3sqrt(41)
To find the missing side length of the triangle, we will use the Pythagorean Theorem.
a^2+b^2=c^2
Let's substitute these values into the formula.
a= 12, b= 15
Calculate power
Add terms
Rewrite 369 as 9* 41
sqrt(LHS)=sqrt(RHS)
sqrt(a^2)=± a
sqrt(a* b)=sqrt(a)*sqrt(b)
Calculate root
Rearrange equation
Multiply
Since a negative side length does not make sense, we only need to consider positive solutions. Therefore, the length of the hypotenuse is 3sqrt(41).