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

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

A
They form an equilateral triangle.
No worries! Weâ€˜ve got your back. Try BYJUâ€˜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! Weâ€˜ve got your back. Try BYJUâ€˜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=4√17 units BC=√62+102=2√34 units AC=√102+62=2√34 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)

Suggest Corrections
7
Join BYJU'S Learning Program
Related Videos
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program