the graph shows the vertices of a triangle. determine the area of the triangle. enter the unknown segment…
the graph shows the vertices of a triangle. determine the area of the triangle. enter the unknown segment length(s), then calculate the area of the polygon. area of the triangle: square units
Answer
Explanation:
Step1: Identify base and height
The base of the triangle is the horizontal distance between (O(1, - 3)) and (I(7,-3)). Using the distance formula for points ((x_1,y_1)) and ((x_2,y_2)) on a horizontal line ((y_1 = y_2)), the base (b=\vert x_2 - x_1\vert=\vert7 - 1\vert = 6). The height (h) is the vertical distance from the line (y=-3) to the point (H(1,8)), so (h=\vert8-(-3)\vert = 11).
Step2: Apply triangle - area formula
The area formula of a triangle is (A=\frac{1}{2}bh). Substitute (b = 6) and (h = 11) into the formula: (A=\frac{1}{2}\times6\times11). [A = 33]
Answer:
33