What is the Mean of the data set? 12, 15, 18, 23, 26
2 answers:
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Answer:
The length of the base is 11 meters.
Step-by-step explanation:
The diagram of the triangle is not shown; However, the given details are enough to solve this question.
Given
<em>Shape: Triangle</em>
<em>Represent the height with h and the base with b</em>
Required
Find the length of the base
The area of a triangle is calculated as thus;
Substitute 22 for Area and 3 + 2h for b
The formula becomes
Multiply both sides by 2
Open the bracket
Subtract 44 from both sides
Rearrange
At this point, we have a quadratic equation; which is solved as follows:
Split the above
Solve the above linear equations separately
Add 4 to both sides
---- <em>First value of h</em>
Subtract 11 from both sides
Divide both sides by 2
<em> ------ Second value of h</em>
Since height can be negative, we'll discard
Hence, the usable value of height is
Recall that
Substitute 4 for h
Hence, the length of the base is 11 meters