wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The area of the triangle formed by joining the midpoints of the sides of the triangle ABC is. Provided, coordinates of A(-4, 3), B(2, 3), C(4, 5).

A
1.5 sq. units.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3 sq. units.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2.5 sq. units.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 1.5 sq. units.
The midpoints of AB, BC, and CA are

(4+22,3+32),(4+22,5+32)and(4+42,3+52)
respectively and let’s denote them as D, E and F.

So D(-1, 3), E(3, 4) and F(0, 4) .
x1=1,y1=3,x2=3,y2=4,x3=0,y3=4.A()=12[x1(y2y3)+x2(y3y1)+x3(y1y2)] =12[1(44)+3(43)+0(34)]A()=1.5 sq.units

Area of a triangle is 1.5 sq. units.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Line and a Point
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon