Question

Find the area of triangle ABC given that AB= 8cm , AC = 6cm , ∠ = 55° ∠ = 35°.

a) 48cm*2 b) 12cm*2 c) 24cm*2 d) 5cm*2

Answer 1

Explanation:

so like you use sine rule to find line BC and i got 7.3 the you have to split the triangle in half to get a right angle triangle then divide 7.3 by two to get 3.7 and then use .pythagoras theorem to find the height and then use the area of a triangle formula to get your answer as option (C)

Answer 2

It seems that you're missing some angle labels. I'll assume ∠A = 55° and ∠B = 35°. To find the area of triangle ABC, we can use the formula:

Area = (1/2) * a * b * sin(C)

where a and b are the side lengths, and C is the angle between them. In our case, a = 8 cm, b = 6 cm, and ∠C = 180° - (∠A + ∠B) = 180° - (55° + 35°) = 90°.

Now, we can plug in the values:

Area = (1/2) * 8 cm * 6 cm * sin(90°)

Since sin(90°) = 1, the area becomes:

Area = (1/2) * 8 cm * 6 cm = 24 cm²

So, the correct answer is c) 24 cm².