Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

7 ft., 24 ft., 21 ft.
scalene
isosceles
equilateral
not a triangle

Sagot :

jcherry99

Answer:

A

Step-by-step explanation:

Remark

The largest angle is going to be opposite the longest side. Use the Cosine Law to find the angle.

Equation

a^2 = b^2 + c^2 - 2*b*c * cos(A) and you are solving for A

Givens

a = 24

b = 21

c = 7

Solution

24^2 = 21^2 + 7^2 - 2*21 * 7 * cos(A)

576 = 441 + 49 - 294 * cos(A)

576 = 490 - 294 * cos(A)

I can see by looking at it that the angle is obtuse and the triangle is scalene.

576 - 490 = - 294 * cos(A)

86 = - 294 * cos(A)

86/-294 = cos(A)

- 0.2925 = cos(A)

A = cos-1(-0.2925)

A = 107 degrees

I just noticed that you did not have to go through all that. Sorry.

Answer

Just look at the givens. The side lengths are all different. The lengths all are larger than the two remaining lengths so D (not a triangle) is not correct.

No sides are equal, the the triangle is neither isosceles or equilateral. Both B and C are wrong.

The answer is A

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.