Plot the points A(2, 3), B(6, 3), C(4, 7) on a graph sheet.

Question

i) Plot the points A(2, 3), B(6, 3), C(4, 7) on a graph sheet. 

ii) Join the points to form triangle ABC. Identify the type of triangle and justify your answer. 

iii) Find its area,

Answer 1

i) given points are A(2, 3), B(6, 3), C(4, 7)

ii) ΔABC is formed, which is an Isosceles triangle.

CD = | 7 – 3 |= 4 units 

AB = |16 – 2 | =4 units

iii) Area of ΔABC = 1/2 × b × h .

= 1/2 × AB × CD

= 1/2 × 4 × 4

= 2 × 4 = 8 sq units