Answer:
Step-by-step explanation:
Given
Required
The length of the diagonals
First, calculate the length of AB using:
So, we have:
The diagonal of a square is calculated using:
Where x is the length of each side.
So:
-- approximated
The edge of each cube used to build this rectangular prism is 1/3 inch long. Which equation shows the volume of the prism, in cu
2 answers:
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Step-by-step explanation:
everything can be found in the picture
Answer: 4*sqrt(66)
This is the same as saying
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Explanation:
x = length of segment BD
Because BD is an altitude of triangle ABC, this means the triangle is split into two smaller right triangles which are similar to the original. All three right triangles are similar to one another.
What this leads to is the proportion
CD/BD = BD/AD
Apply substitution and solve for x.
24/x = x/44
24*44 = x*x .... cross multiply
1056 = x^2
x = sqrt(1056)
x = sqrt(16*66)
x = sqrt(16)*sqrt(66)
x = 4*sqrt(66)
Notice how I factored 1056 in such a way that I pulled out the largest perfect square factor (16). Then I used the rule to break up the root.