1. parallel lines have same slope
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
Answer:
125 ft²
Step-by-step explanation:
We know that that surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces, plus the two lateral rectangular faces.
So you get:
SA = 2 [
(15)(15)] + 2 [(30)(15)] = 1,125 ft²
Your answer is unlikely. That would be a 1 out of 10 chance.
