Question

What is the area of an obtuse angled triangle given below with two sides are 8 and 12 and the angle included between two sides is 150 deg?

A) 48 sq units
B) 24 sq units
C) 12 sq units
D) 6 sq units

Answer 1

Answer:

here is ur answer

Step-by-step explanation:

48sq units

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Answer 2

The area of an obtuse angled triangle is 24 square units

Solution:

The area of a triangle with two sides given and included angle is:

$Area = \frac{1}{2} \times \text{ product of sides } \times sin(angle)$

From given,

Two sides are 8 and 12 and the angle included between two sides is 150 deg

Therefore,

$Area = \frac{1}{2} \times 12 \times 8 \times sin\ 150\\\\Area = \frac{1}{2} \times 12 \times 8 \times 0.5\\\\Area = 24$

Thus area of an obtuse angled triangle is 24 square units

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