Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

The base of a triangle is given by a number, x (metres). The height of the triangle is ten metres less than the product of two and the number. The area of the triangle is equal to the product of seven and the base length.

The Base Of A Triangle Is Given By A Number X Metres The Height Of The Triangle Is Ten Metres Less Than The Product Of Two And The Number The Area Of The Triang class=

Sagot :

According to the question the base of the triangle is x, the height is ten less than the product of two and x, this is 2x-10. The area of the triangle is the product of seven and the base, this is 7x.

The area of a triangle is given by:

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

Replace each variable for the given expressions:

[tex]\begin{gathered} 7x=\frac{x\cdot(2x-10)}{2} \\ 7x=\frac{2x^2-10x}{2} \\ 7x=x^2-5x \\ 7=x-5 \\ x=7+5 \\ x=12 \end{gathered}[/tex]

x has a value of 12.

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.