Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

a triangle with area 28 square inches has a height that is twi less than four times the base. find the base and the height if the tringle?

Sagot :

Answer:

b = 4 inches and h = 14 inches

Step-by-step explanation:

Given that,

The area of a triangle, A = 28 sq inches

Height is twice less than 4 times the base.

H = 4b-2, b is base

We know that,

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\28=\dfrac{1}{2}\times b\times (4b-2)\\\\56=4b^2-2b\\\\28=2b^2-b\\\\b=4\ inches,-3.5\ inches[/tex]

Base = 4 inches

Height = 4(4)-2

= 14 inches

Hence, this is the required solution.

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.