Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

The area of a triangular price of stained glass is 50 square centimeters. If huge height of the triangle is four times the base, how long are the height and the base of stained glass

Sagot :

RedRicin
We can use the formula for the area of a triangle to solve for these dimensions.

The formula for the area of a triangle is [tex]A=\frac{1}2bh[/tex].

We know that the area of the triangle is 50, so here's our new equation: [tex]50=\frac{1}2bh[/tex]

How can we solve for [tex]b[/tex] and [tex]h[/tex]?

Well, we know how to solve equations with one variable.
And since the height is four times the base, we can replace [tex]h[/tex] with [tex]4b[/tex] and solve for b!

[tex]50=\frac{1}2b(4b)\\\\50=\frac{1}2(4b^2)\\\\ 50=2b^2 \\\\ 25=b^2 \\\\ \boxed{b=5\ ft}[/tex]

And of course, since the height is four times that, [tex]\boxed{h=20\ ft}[/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.