Is this correct? (No, I'm not 10 im just slow :,) )
1 answer:
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By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Given:
The dimensions:
Square pyramid
Square base: 2x2
1 out of 4 triangles: 1/2x2x5
4 triangles: 2x2x5
To find:
The SURFACE AREA of the square pyramid
Find answer:
Step 1
Find the area of the square base -
Square base:
SA = L x W
= 2 x 2
= 4
<em>The surface area of the square is 4 square inches</em>
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Step 2
Find the area of the 4 Triangles:
We will use a different formula here, to find 1 triangle, we will have to do:
To find 2 triangles, we will do:
But to find 4 triangles in just 1 step, we will do:
Let's do it!
<em>The surface area of the 4 triangles are 20 square inches</em>
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Step 3
Add answers to get FINAL ANSWER
Easy!
20+4=24
<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2><em></em>
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