Find the area of the triangle whose sides or a (0,0) b (6,0) and c (0,6)
Answers
Answered by
0
A (0,0) is origin.
B (6,0) lies on the x axis.
C (0,6) lies on the y axis.
If we will join the points A, B and C then we will find that traingle ABC is a right angled traingle.
Since it is right angled traingle and the two small sides are along x axis and y axis,
therefore, the length of AB and AC will be 6 units.
Using PYTHAGORAS THEOREM in triangle ABC,
BC ^2 = AB ^2 + AC ^2
BC ^2 = 6 * 6 + 6 * 6
BC ^2 = 36 + 36
BC ^2 = 72
BC = √72
BC = 6 √2 units
The three sides if the traingle are 6, 6 and 6 √2.
Similar questions