Melinda is planning to attend a private university after she graduates from high school in 3 years. She is devising a plan to save money each month to help with expenses of attending the university. The cost of attending the private university for one year is $22,500. Her family promised to contribute $13,500 each year she is in school. Which plan shows that minimum amount of money Melinda must contribute to her savings to have enough money to pay for her first year of tuition?

m∠a is 90°

m∠b is 40°

there are no multiple choices

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough