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QuestionFind the length of side C in a right triangle where A = 3 and B = 4 using the formula C=A2+B2C = \sqrt{A^2 + B^2}.

Studdy Solution

STEP 1

Assumptions1. The triangle is a right triangle. The lengths of sides A and B are given as3 and4 respectively3. We are asked to find the length of side C, which is the hypotenuse of the right triangle

STEP 2

We can use the Pythagorean theorem to find the length of side C. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the lengths of the other two sides (A and B).
C2=A2+B2C^2 = A^2 + B^2

STEP 3

Now, plug in the given values for sides A and B into the Pythagorean theorem.
C2=32+2C^2 =3^2 +^2

STEP 4

Calculate the squares of sides A and B.
C2=9+16C^2 =9 +16

STEP 5

Add the squares of sides A and B.
C2=25C^2 =25

STEP 6

Now, to find the length of side C, we need to take the square root of both sides of the equation.
C=25C = \sqrt{25}

STEP 7

Calculate the square root of25.
C=5C =5The length of side C is5.

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