Answer:
9.271 inches.
Step-by-step explanation:
Let AC be the length of original line segment and point B divides it into two segments such that AB is longer and BC is smaller segment.
We can describe the golden ratio as:
We can verify our answer as:
Hence proved.
Therefore, the length of the longer side would be 9.271 inches.
ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following expression:
In order to operate, we must first break the parentheses and then group similar terms, like this:
(AAA) Corresponding angles are congruent.
Therefore, the sides of the triangles are proportional:
cross multiply
use distributive property
subtract 100 from both sides
divide both sides by 100
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(SAS)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Therefore we have the equation:
The perimeter of △PQR:
Substitute the value of y to the expression: