Answer :

Answer:

c

Step-by-step explanation:

I think it's c I might be wrong though not sure

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Rewritten by : Barada

Answer:

C

Step-by-step explanation:

(i)

given a triangle with 2 sides and the included angle known

to find the third side use the Cosine rule

a² = b² + c² - 2bc cosA

adapting the formula to describe Δ PQR

r² = p² + q² - 2pq cosR

here r = PQ, p = QR = 7.6 , q = PR = 8.4 and ∠ R = 62° , then

r² = 7.6² + 8.4² - (2 × 7.6 × 8.4 × cos62° )

= 57.76 + 70.56 - 59.942

= 128.32 - 59.942

= 68.376 ( take square root of both sides )

r = [tex]\sqrt{68.378}[/tex]

≈ 8.27

that is PQ ≈ 8.27 cm ( to 2 decimal places )

(11)

the area (A) is then calculated as

A = [tex]\frac{1}{2}[/tex] pq sinR

= 0.5 × 7.6 × 8.4 × sin62°

≈ 28.2

that is area of Δ PQR ≈ 28.2 cm² ( to 1 decimal place )