How do you evaluate b=a2−c2 given a=29 and c=20?

"How do you evaluate b=a2−c2 given a=29 and..." solved and explained

hardcoreangelp50

2022-02-02

How do you evaluate

b = \sqrt{a^{2} - c^{2}}

given

a = 29

and

c = 20

Bryce Barry

Beginner2022-02-03Added 12 answers

Step 1
You substitute 29 for a and 20 for c in the equation and then do the math to solve for b:

b = \sqrt{29^{2} - 20^{2}}

b = \sqrt{29 \times 29 - 20 \times 20}

b = \sqrt{841 - 400}

b = \sqrt{1241}

b = 35.23

Layla Humphrey

Beginner2022-02-04Added 11 answers

Step 1
To evaluate b, substitute the values given for a and c into the radical.

\Rightarrow b = \sqrt{29^{2} - 20^{2}}

= \sqrt{841 - 400} = \sqrt{441} = 21

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