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Nadya [2.5K]
2 years ago
5

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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\huge\underline\color{purple}{Answer ☘}

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<h2>———————————</h2>

\color{pink}\boxed{Additional \: \: Information♡}

properties \: that \: we \: used \: while  \\  solving \: the \: question \: are \: as \: follows -  \\  \\ x {}^{m}  \times x {}^{n}  = x {}^{m + n}  \\  \frac{x {}^{m} }{x  {}^{n} }  = x {}^{m - n}

<h2>———————————</h2>

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