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

If A(7,9),B(3,−7) and C(−3,3) represent the vertices of a triangle, then which of the following is/are correct?

A
They form an equilateral triangle.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
They form a right angled isosceles triangle.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Orthocentre of the triangle is (3,3)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Orthocentre of the triangle is (3,7)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
B They form a right angled isosceles triangle.
C Orthocentre of the triangle is (3,3)
Given : The vertices of triangle are A(7,9),B(3,7) and C(3,3)
Now, finding the side lengths,
AB=42+162=417 units
BC=62+102=234 units
AC=102+62=234 units

As BC=AC and (AB)2=(BC)2+(AC)2,
it is a right angled isosceles triangle, right angled at C.
So, orthocentre =(3,3)

flag
Suggest Corrections
thumbs-up
10
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon