Q. 20

# Find the area of

Answer : The figure is as shown above.

x1 + x2 = 2 × 3 = 6 …..(1)

x1 + x3 = 2 × 1 = 2 …..(2)

x2 + x3 = 2 × 5 = 10 …..(3)

Equation 1 – Equation 2 gives us

x2 – x3 = 4 …..(4)

Equation 3 + Equation 4,

2x2 = 14 x2 = 7

x1 = -1 and x3 = 3

Similarly,

y1 + y2 = 2 × -1 = -2 …..(5)

y1 + y3 = 2 × -3 = -6 …..(6)

y2 + y3 = 2 × 3 = 6 …..(7)

Equation 5 – Equation 6 gives us

y2 – y3 = 4 …..(8)

Equation 7 + Equation 8,

2y2 = 10 y2 = 5

y1 = -7 and y3 = 1

Area of Δ ABC   = 8 square units

Therefore, the area of Δ ABC is 8 square units.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Determine the poiRD Sharma - Mathematics

The length of theRD Sharma - Mathematics

Let (3, 4, -1) anRD Sharma - Mathematics

The length of theRD Sharma - Mathematics

If P (0, 1, 2), QRD Sharma - Mathematics

Show that the triMathematics - Exemplar

Write the length RD Sharma - Mathematics

If the distance bRD Sharma - Mathematics

Find the point onRD Sharma - Mathematics

Find the point onRD Sharma - Mathematics