ABC is a right-angled triangle in which A = 90° and AB = AC. Find B and C.
Triangles
1
Posts
2
Users
0
Likes
208
Views
0
12/07/2021 11:44 am
Topic starter
ABC is a right-angled triangle in which A = 90° and AB = AC. Find B and C.
Answer
Add a comment
Add a comment
1 Answer
0
12/07/2021 11:45 am
In the question, it is given that
A = 90° and AB = AC
AB = AC
⇒ B = C (They are angles opposite to the equal sides and so, they are equal)
A + B + C = 180° (Since the sum of the interior angles of the triangle)
∴ 90° + 2B = 180°
⇒ 2B = 90°
⇒ B = 45°
B = C = 45°
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.
4 years ago
-
In Figure, PR > PQ and PS bisect QPR. Prove that PSR > PSQ.
4 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.
4 years ago
-
In Figure, B < A and C < D. Show that AD < BC.
4 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.
4 years ago
Forum Information
- 321 Forums
- 27.3 K Topics
- 53.8 K Posts
- 3 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