Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.
1 answer:
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Answer:
a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<u><em>Step(i)</em></u>:-
Given data ∠B measures 35° and the values of a and b are 19 and 11
∠B = 35° and sides a = 19 and b = 11
<em>By using sine rule </em>
<em></em><em></em>
now we will use
cross multiplication , we get
<em>sin A = 0.990</em>
<em>A = sin⁻¹( 0.990) = 82.2°</em>
<em> ∠A = 82.2°</em>
<u><em>Step(ii):-</em></u>
we know that ∠A +∠B +∠C = 180°
∠C = 180° - ∠A -∠B
∠C = 180° -82.2°-35°
∠C = 62.8°
<u><em>Step(iii)</em></u>:-
<em>we will use formula</em>
<em></em><em></em>
<em></em><em></em>
<em>c = 17.01</em>
<u><em>Final answer</em></u>:-
<em> ∠A = 82.2° , ∠C = 62.8° , c = 17.01</em>