Question

shirley is drawing triangles that have the same area. the base of each triangle varies inversely with the height. what are the possible base and height of a second triangle if the first triangles base is 12 and its height is 8?
o 10 and 10
o 120 and 80
o 60 and 36
o 16 and 6

Explanation:

Step1: Calculate area of first triangle

The area formula for a triangle is $A=\frac{1}{2}bh$. For the first triangle with $b = 12$ and $h = 8$, we have $A=\frac{1}{2}\times12\times8=48$.

Step2: Check each option's area

Option 1: For base $b = 10$ and height $h = 10$

$A=\frac{1}{2}\times10\times10 = 50
eq48$.

Option 2: For base $b = 120$ and height $h = 80$

$A=\frac{1}{2}\times120\times80=4800
eq48$.

Option 3: For base $b = 60$ and height $h = 36$

$A=\frac{1}{2}\times60\times36 = 1080
eq48$.

Option 4: For base $b = 16$ and height $h = 6$

$A=\frac{1}{2}\times16\times6=48$.

Answer:

16 and 6