Join IDNLearn.com and start getting the answers you've been searching for. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.
Sagot :
Sure, let's solve for the height [tex]\( h \)[/tex] step by step using the given formula for the area of a triangle.
The formula for the area ([tex]\( A \)[/tex]) of a triangle is:
[tex]\[ A = \frac{1}{2} b h \][/tex]
Here, [tex]\( A \)[/tex] represents the area of the triangle, [tex]\( b \)[/tex] represents the base of the triangle, and [tex]\( h \)[/tex] represents the height of the triangle. We need to rearrange this formula to solve for [tex]\( h \)[/tex].
1. Write down the original formula:
[tex]\[ A = \frac{1}{2} b h \][/tex]
2. Isolate the term with [tex]\( h \)[/tex] on one side of the equation.
To do this, we need to get rid of the fraction [tex]\(\frac{1}{2}\)[/tex]. We can do this by multiplying both sides of the equation by 2 to eliminate the fraction.
[tex]\[ 2A = 2 \left(\frac{1}{2} b h\right) \][/tex]
Simplifying the right-hand side, we get:
[tex]\[ 2A = b h \][/tex]
3. Solve for [tex]\( h \)[/tex].
To isolate [tex]\( h \)[/tex], divide both sides of the equation by [tex]\( b \)[/tex]:
[tex]\[ h = \frac{2A}{b} \][/tex]
So, the height [tex]\( h \)[/tex] can be found using the formula:
[tex]\[ h = \frac{2A}{b} \][/tex]
This equation shows that the height [tex]\( h \)[/tex] of a triangle is twice the area [tex]\( A \)[/tex] divided by the base [tex]\( b \)[/tex].
The formula for the area ([tex]\( A \)[/tex]) of a triangle is:
[tex]\[ A = \frac{1}{2} b h \][/tex]
Here, [tex]\( A \)[/tex] represents the area of the triangle, [tex]\( b \)[/tex] represents the base of the triangle, and [tex]\( h \)[/tex] represents the height of the triangle. We need to rearrange this formula to solve for [tex]\( h \)[/tex].
1. Write down the original formula:
[tex]\[ A = \frac{1}{2} b h \][/tex]
2. Isolate the term with [tex]\( h \)[/tex] on one side of the equation.
To do this, we need to get rid of the fraction [tex]\(\frac{1}{2}\)[/tex]. We can do this by multiplying both sides of the equation by 2 to eliminate the fraction.
[tex]\[ 2A = 2 \left(\frac{1}{2} b h\right) \][/tex]
Simplifying the right-hand side, we get:
[tex]\[ 2A = b h \][/tex]
3. Solve for [tex]\( h \)[/tex].
To isolate [tex]\( h \)[/tex], divide both sides of the equation by [tex]\( b \)[/tex]:
[tex]\[ h = \frac{2A}{b} \][/tex]
So, the height [tex]\( h \)[/tex] can be found using the formula:
[tex]\[ h = \frac{2A}{b} \][/tex]
This equation shows that the height [tex]\( h \)[/tex] of a triangle is twice the area [tex]\( A \)[/tex] divided by the base [tex]\( b \)[/tex].
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.
I Need Help With Piecewise Functions. How To Find The Domain And Range And How To Write It Notation.