The Pythagorean Theorem can be used to find the missing side length of a triangle when two other side lengths are known.
Consider the following measurements.
a=20
b=?
c=29
Use the formula c=a2+b2−−−−−−√, a modified version of the Pythagorean Theorem, to find the missing side length, b.
What is the value of b?
A) 441
B) 840.8
C) 35.2
D) 21
1 year ago
1 year ago
To find the missing side length, b, we can use the modified version of the Pythagorean Theorem, which states c = √(a^2 + b^2).
In this case, we have:
a = 20
c = 29
Substituting these values into the formula c = √(a^2 + b^2), we get:
29 = √(20^2 + b^2)
To isolate b^2, we can square both sides of the equation:
29^2 = (20^2 + b^2)^2
841 = 400 + b^2
Subtracting 400 from both sides of the equation, we have:
441 = b^2
To find the value of b, we take the square root of both sides:
b = √441
b = 21
Therefore, the value of b is D) 21.
1 year ago
To find the missing side length, b, using the Pythagorean Theorem, we can rearrange the formula as follows:
b = √(c^2 - a^2)
Given that a = 20 and c = 29, we can substitute these values into the formula:
b = √(29^2 - 20^2)
Calculating this expression:
b = √(841 - 400)
b = √441
Therefore, the value of b is the square root of 441, which is 21.
So, the correct answer is:
D) 21