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Could you please solve this?

Could you please solve this?-example-1
User Ujesh
by
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1 Answer

4 votes

Answer:

CD ≈ 9.68 cm

Explanation:

use Pythagoras' identity in right triangle ABC to find BC

then use the sine ratio in right triangle BCD to find CD

BC² + AB² = AC² ( substitute values )

BC² + 3² = 8²

BC² + 9 = 64 ( subtract 9 from both sides )

BC² = 55 ( take square root of both sides )


√(BC^2) =
√(55) , that is

BC =
√(55)

using the sine ratio in Δ BCD

sin50° =
(opposite)/(hypotenuse) =
(BC)/(CD) =
(√(55) )/(CD) ( multiply both sides by CD )

CD × sin50° =
√(55) ( divide both sides by sin50° )

CD =
(√(55) )/(sin50) ≈ 9.68 cm ( to 3 significant figures )

User James Koppel
by
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