1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A right triangle is formed by connecting the 3 coordinates A, B and C. Find the area of the ΔABC, if AB and BC are parallel to the coordinate axes as shown in the figure.

A

10 sq. units

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

20 sq. units

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

6 sq. units

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

12 sq. units

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C 6 sq. units Since BC is parallel to X-axis, ordinate of point B is 1. AB is parallel to Y-axis, so its abscissa is 1. The point B is (1, 1). Length of AB is difference of ordinates since it is parallel to Y-axis = 4 - 1 = 3 units Length of BC is difference of abscissa since it is parallel to X-axis = 5 - 1 = 4 units Area of ΔABC is 12×AB×BC=12×3×4 sq.units=6 sq.units.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Distance Formula
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program