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3 years ago

What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:

Mathematics

1 answer:

ioda3 years ago

8 0

Focus on triangles DFC and DFE:

They are both right triangles because DF is perpendicular to EC

DC=DE

DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular

$8x=3x+15 \iff 5x=15 \iff x=3$

And since x=3, the length of EF is

$3x+15=3\cdot 3+15=24$

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