Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A carpenter is building a set of trusses to support the roof of a residential home. In theblueprints, she has determined that she needs to make a support triangle with an area 56 m². She knows that the base must be 1 less than 2 times the height. Write the equation thatcorrectly shows the area of the triangle in terms of its height, h.

A Carpenter Is Building A Set Of Trusses To Support The Roof Of A Residential Home In Theblueprints She Has Determined That She Needs To Make A Support Triangle class=

Sagot :

We are told that we want a triangle of area 56. Recall that the area of a triangle of base b and height h is given by the formula

[tex]\frac{b\cdot h}{2}[/tex]

In our case we want

[tex]\frac{b\cdot h}{2}=56[/tex]

now, we want to find an expression for b. We are told that the base is one less than twice the height. That is, we take the height, multiply it by 2, and then subtract 1. That would lead to

[tex]b=2h\text{ -1}[/tex]

so we have

[tex]\frac{h(2h\text{ -1\rparen}}{2}=56[/tex]

so the second option is correct.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.