FORMULA OF TRIANGLE AREA WITH A KNOWN ANGLE




Calculate the area of this triangle.

area of triangle


Mathematics Cambridge IGCSE Test (0580 m16 qp 32)
                                                                                                                                                         
Answer:

Based on the formula area of triangle

area of triangle formula

Where a and b are adjacent sides of angle c. This formula could be applied for any triangle (scalene, right or isosceles triangle).

Area of Triangle 

= 1/2  a b sin ⁡c
= 1/2 × 27.6 × 22.3 sin ⁡25°
= 130.1

So the area of triangle is 130.1 cm square.


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SIMILAR  QUESTION (EXAMPLE ONLY/ FICTIF QUESTION)


A Mesothelioma attorney has a triangular land as shown below,  



This location will be used for car donation program where people would give some used car for charity. Find the area of this triangular land.                                                                                                       
Answer:

Based on the formula area of triangle with a known angle.



Where a and b are adjacent sides of angle c. This formula could be applied for any triangle (scalene, right or isosceles triangle).


= 1/2  a b sin ⁡c
= 1/2  × 290 ×340 sin 30°
= 24650  metre squares

So, this Mesothelioma attorney’s triangular land area is  metre square.







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