The bedroom and office in the diagrams below are similar rectangles. The walls on the left sides in the diagram are proportional
, and the walls on the top sides in the diagram are proportional. How long is the missing wall of the office (shown in red below)?
1 answer:
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ANSWER
EXPLANATION
It was given that ∆CDE is an isosceles triangle.
The length of the sides are given in terms of x as follows.
It was also given that, angle D is congruent to angle E.
This implies that, side CD and CE are equal.
Thus,
In terms of x, we have;
We group like terms to get,
Divide both sides by 12 to get,
The length of the sides are;
EXPLANATION
It was given that ∆CDE is an isosceles triangle.
The length of the sides are given in terms of x as follows.
It was also given that, angle D is congruent to angle E.
This implies that, side CD and CE are equal.
Thus,
In terms of x, we have;
We group like terms to get,
Divide both sides by 12 to get,
The length of the sides are;