Question

question 11: standard g.srt.8
if side a = 3, b=4, what is side c?
a. 6
b. 7
c. 5
d. 2
question 12: standard g.srt.8
when solving the pythagorean theorem, the last step invol
a. square root
b. subtraction
c. division
d. multiplication

Explanation:

Question 11

Step1: Identify the theorem

This is a right - triangle problem, so we use the Pythagorean theorem, which is \(a^{2}+b^{2}=c^{2}\), where \(a = 3\), \(b = 4\) and we need to find \(c\).

Step2: Substitute the values

Substitute \(a = 3\) and \(b = 4\) into the formula: \(3^{2}+4^{2}=c^{2}\). Calculate \(3^{2}=9\) and \(4^{2}=16\), so \(9 + 16=c^{2}\).

Step3: Simplify the left - hand side

\(9+16 = 25\), so \(c^{2}=25\).

Step4: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{25}=5\).

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\). After calculating \(a^{2}+b^{2}\) to get \(c^{2}\), the last step to find \(c\) is to take the square root of \(c^{2}\). So the last step involves square root.

Answer:

c. 5

Question 12