Show that in a rightangled triangle, the hypotenuse is the longest side.
Triangles
1
Posts
2
Users
0
Likes
138
Views
0
12/07/2021 12:11 pm
Topic starter
Show that in a rightangled triangle, the hypotenuse is the longest side.
Answer
Add a comment
Add a comment
1 Answer
0
12/07/2021 12:15 pm
It is known that ABC is a triangle right angled at B.
We know that,
A + B + C = 180°
If B+C = 90° then A has to be 90°.
Since A is the largest angle of the triangle, the side opposite to it must be the largest.
So, AB is the hypotenuse which will be the largest side of the above rightangled triangle i.e. ΔABC.
Add a comment
Add a comment
Forum Jump:
Related Topics

Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
2 years ago

In Figure, PR > PQ and PS bisect QPR. Prove that PSR > PSQ.
2 years ago

AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Figure). Show that A > C and B > D.
2 years ago

In Figure, B < A and C < D. Show that AD < BC.
2 years ago

In Figure, sides AB and AC of ΔABC are extended to points P and Q respectively. Also, PBC < QCB. Show that AC > AB.
2 years ago
Forum Information
 321 Forums
 27.3 K Topics
 53.8 K Posts
 1 Online
 12.4 K Members
Our newest member: Stripchat
Forum Icons:
Forum contains no unread posts
Forum contains unread posts
Topic Icons:
Not Replied
Replied
Active
Hot
Sticky
Unapproved
Solved
Private
Closed