Right triangle abc is on a coordinate plane. segment ab is on the line y = 2 and is 6 units long. point c is on the line x = −3. what is the y-value of point c if the area of δabc is 9 units squared? 5 6 7 8

step-by-step explanation:

look at the picture.

the formula of an area of a right triangle:

a, b - legs

we have one leg a = 6, and the area a = 9.

substitute to the formula:

          divide both sides by 3

therefore we have ac = 3.

the coordinates of the point a (intersection of the line) are (-3, 2).

point c lie on the line x = -3. therefore c(-3, y).

ac = 3 → y = 2 + 3 or y = 2 - 3

y = 5 or y = -1

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