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Find the area of triangle ABC if a=6,b=7, and c=9. 7. Let v=2i−j and u=−3i+2j. Find each expression. (a) 2v+u

User Kamituel
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1 Answer

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Final answer:

The area of triangle ABC is approximately 83.91 square units.

Step-by-step explanation:

To find the area of triangle ABC, we can use Heron's formula. Heron's formula states that the area of a triangle with side lengths a, b, and c is given by:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semiperimeter of the triangle, calculated as (a+b+c)/2.

In this case, a=6, b=7, and c=9. We can substitute these values into the formula to find the area:

Area = sqrt((6+7+9) * (6+7-9) * (6-7+9) * (-6+7+9))

= sqrt(22 * 4 * 8 * 10)

= sqrt(7040)

Therefore, the area of triangle ABC is approximately 83.91 square units.

User Jsina
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