Given a line segment with end points A (0,0) and B (6,8), find point C (x,y) that the triangle vertices A, B and C has an area of 25 square units?

Respuesta :

Answer:

C(6.25 , 0)

Step-by-step explanation:

Draw the diagram

A is at (0,0)

B is at (6,8)

Draw a line from A to B.

Put a large dot where (0,6) is. Call this D

Draw BD

Draw another line from (0,0) to just beyond (6,0) Call this C. Draw in BC

What You Have Drawn

The height of the triangle is BD and it is 8. That comes from B which is (6,8)

Solve

Formula

Area = 1/2 * B * H

Area = 25

H = 8

Area = 1/2 B * H

25 = 1/2 * B * 8             Switch sides

1/2  * B * 8 = 25            Combine factors on the left.

4 B = 25                       Divide both sides by 4

4B/4  = 25/4        

B = 6.25

What that means is that AC is 6.25 units long and is on the x axis

C is C(6.25,0)