119k views
3 votes
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
by
7.9k points

1 Answer

4 votes

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
by
7.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories