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2 years ago

Find a,b,c and d?..........

Mathematics

1 answer:

cupoosta [38]2 years ago

4 0

9514 1404 393

Answer:

a = 6, b = 12, c = 6, d = 6√3

Step-by-step explanation:

The two triangles are the "special" triangles.

The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.

The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.

Then ...

c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6

and ...

a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)

The lengths are ...

a = 6, b = 12, c = 6, d = 6√3

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