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king99
king99 king99
  • 08-08-2016
  • Mathematics
Answered

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. B = 105°, a = 12 cm, c = 19 cm

Verified Answer :

boffeemadrid
boffeemadrid boffeemadrid
  • 25-02-2019

Answer:

The area of triangle is \(110.10cm^{2}\)

Step-by-step explanation:

It is given that AB=19cm, BC=12cm and ∠B=105°

Now, Area of the triangle ABC=\(\frac{1}{2}acsinB\)

=\(\frac{1}{2}{\times}12{\times}19{\times}sin105^{\circ}\)

=\(6{\times}19{\times}(0.965)\)

=\(110.10cm^{2}\)

Thus, the area of triangle is \(110.10cm^{2}\)

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