Answered

IDNLearn.com is your trusted platform for finding reliable answers. Our platform is designed to provide trustworthy and thorough answers to any questions you may have.

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.

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.