Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore a wealth of knowledge from professionals across various disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The height of a triangle is 9 feet less than twice the length of its base. Its area is 9 square feet. What are the dimensions of its base and height? Recall that the area of a triangle is 1/2bh.

Its base is ____ feet and its height is ____ feet.

Sagot :

Medunno13

Step-by-step explanation:

If we let the length of the base be b, then the height is 2b-9.

This means that (1/2)(b)(2b-9)=9

b(2b-9) = 18

2b^2 - 9b = 18

2b^2 - 9b - 18 = 0

(2b+3)(b-6)=0

b = -3/2 or b= 6 (disregard b = -3/2 as distance is positive)

This means b =6, and thus the height is 2(6)-9=3.

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.