Question

In the given figure, AC = 6cm, AB = 5 cm and angle BAC = 30°. Find the area of the triangle
​

Answer 1

$pls \: mark \: as \: brainlist$

Since the height is not given we can solve using another formula.

Area of Triangle = Base * Side * Sin Ф / 2

Here let us take the base to be 6 cm and the side measure to be 5 cm.

Substituting in the formula we get,

Area of triangle = 6 * 5 * Sin 30 / 2

=> Area = 30 * ( 1 / 2 ) / 2

=> Area = 30 * 1 / 4

=> Area = 30 * 0.25 = 7.5

Hence the area of the Triangle given is 7.5 cm²

Hope it helped !

Answer 2

Question :-

In the given figure, AC = 6cm, AB = 5 cm and $\angle$BAC = 30°. Find the area of the triangle.

Answer :-

Area of the triangle = 7.5 cm²

Step-By-Step Explanation :-

Given :

• AB = 5 cm
• AC = 6 cm
• $\angle$A = 30°

From the given figure

sin 30° = BC/AC = BC/6

➡ 1/2 = BC/6

➡ BC = 6/2

➡ BC = 3 cm

∆ABC = 1/2 × BC × AC

= 1/2 × 3 × 5

= 15/2

= 7.5 cm²

Hence, the area of the triangle = 7.5 cm².