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2 years ago

QUESTION IN PIC- 20 POINTS :)

Mathematics

1 answer:

forsale [732]2 years ago

6 0

Answer:

CD = 3 -√3

Step-by-step explanation:

The ratio of leg lengths in a 30°-60°-90° triangle is ...

1 : √3 : 2

The longest leg of ΔABD is 2√3, so we must multiply all of these ratio values by √3 to see the actual lengths of the triangle sides.

AB : BD : AD = 1 : √3 : 2 = √3 : 3 : 2√3

That is ...

AB = √3

BD = 3

The lengths of the legs in isosceles right triangle ABC are the same, so ...

BC = AB = √3

Then the length of interest is ...

CD = BD -BC

CD = 3 -√3 . . . . . . . a=3, b=-1

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