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3 years ago

6

What is the formula for the area of an oblique triangle?

2 answers:

Alex777 [14]3 years ago

8 0

The formula of an oblique triangle is:
A = (1/2) x a x b x Sin(C)

miv72 [106K]3 years ago

4 0

To find the area of an oblique triangle there are different formulae. The first formula to calculate the area of a triangle is area A = (1/2) * a * b * Sin(C), where a and b are the lengths of the two sides of the triangle and C is the value of the angle of the triangle that lies in between the two sides a, b.

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Rom4ik [11]

Answer:

<em></em> $Area = 72in^2$ <em></em>

<em></em>

Step-by-step explanation:

<em>Your question is incomplete without an attachment (See attachment)</em>

Required

Determine the area of the shaded part

From the attachment;

<em>Assume that the shaded portion is closed to the right;</em>

<em>Calculate the Area:</em>

<em></em> $Area_1 = Length * Width$ <em></em>

<em></em> $Area_2 = 8in * (6in + 6in)$ <em></em>

<em></em> $Area_2 = 8in * 12in$ <em></em>

<em></em> $Area_1 = 96in^2$ <em></em>

<em></em>

<em>Next;</em>

<em>Calculate the Area of the imaginary triangle (on the right)</em>

<em></em> $Area_2 = \frac{1}{2} * base * height$ <em></em>

<em></em> $Area_2 = \frac{1}{2} * (6in + 6in) * 4in$ <em></em>

<em></em> $Area_2 = \frac{1}{2} * 12in * 4in$ <em></em>

<em></em> $Area_2 = \frac{1}{2} * 48in^2$ <em></em>

<em></em> $Area_2 = 24in^2$ <em></em>

<em></em>

<em>Lastly, calculate the Area of the Shaded Part</em>

<em></em> $Area = Area_1 - Area_2$ <em></em>

<em></em> $Area = 96in^2 - 24in^2$ <em></em>

<em></em> $Area = 72in^2$ <em></em>

<em></em>

<em>Hence,</em>

<em>The area of the shaded part is 72in²</em>

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