Question

Find the area of traingle ABC.

Answer 1

Answer:

the answer 4.52 cm sq apply the formula toget that

Answer 2

Answer:

The required area is 31.5 cm².

Concept required:

Properties of triangles.

Step-by-step explanation:

In question two angles, two sides are given.

But the angle between the given sides ( AC and BD) is not given.

Let's find that,

Since a, b ,c are angles of a triangle their sum is 180°.

i.e a+b+c = 180°

⇒c+72+59=180

∴c=49°.

We know that area of triangle with two side lengths a, b  and included angle C is,

Δ = 1/2 x a x b sinC

Therefore, area of required triangle is

Δ = 1/2 x 7 x 12 x sin49

sin49≈0.75

⇒Δ = 42 x 0.75

∴Δ = 31.5 cm².