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

(5, -2), (6, 4) and (7, -2) are the vertices of a ........ triangle.

A
equilateral
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
right angle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
scalene
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
isosceles
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D isosceles

We can use the distance formula to find the length of the three sides and then check if the triangle is isosceles.

Distance between points=(x2x1)2+(y2y1)2

Distance AB =(65)2+(4+2)2=37

Distance BC =(76)2+(24)2=37

Distance CA =(75)2+(2+2)2=4

We find distances AB=BC and hence, the triangle is isosceles.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Distance Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon