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Ira Lisetskai [31]
2 years ago
13

Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, A

Mathematics
1 answer:
Masteriza [31]2 years ago
3 0

Given: ABCD ∥gram,

BK ⊥ AD , AB ⊥ BD

AB=6, AK=3

Find: m∠A, BK

To proof

  as given BK ⊥ AD

thus ΔABK is a right triangle.

thus by using the pythagoras theorem

we have

AB² = BK² + AK²

BK²  = AB ²- AK²

     = 6² - 3²

     = 36 - 9

     = 27

Hence

BK = <u>3\sqrt{3} unit</u>

Now find the value  m∠A

by using the trignometric function

FORMULA

cosA = \frac{BASE}{HYPOTENUSE}

cosA = \frac{3}{6}

       = \frac{1}{2}

m∠A = 60°

hence proved


 

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