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Neporo4naja [7]
2 years ago
14

A and C are right angles. p = degrees.

Mathematics
1 answer:
hodyreva [135]2 years ago
7 0

Answer

Find out the  m∠p .

To prove

As in ΔDAB is a right triangle

Apply pythagorean theorem

Hypotenuse ² = Perpendicular ² + Base²

DB² = AB² + AD²

AB = 5 units

AD = 6 units

Put in the above formula

DB² = 5² + 6²

     = 25 + 36

    = 61

          = 7.8 units (approx)

Now in  ΔDCB is a right triangle .

By using the trignometric identity .

As DC = 4 units

DB = 7.8 units  (approx)

Put all the values in the trignometric identity .

∠p = 59.15 ° (approx)

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