Question:
ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
Updated On: Nov 18, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
is given that
AB = AC
∠C = ∠B (Angles opposite to equal sides are also equal)
In ∆ABC,
∠A + ∠B + ∠C = 180º (Angle sum property of a triangle)
90º + ∠B + ∠C = 180º
90º + ∠B + ∠B = 180º
2B = 90º
∠B = 45º
B = C = 45º
Was this answer helpful?
0
0
Top Questions on Some Properties of a Triangle
- If \( (a, \beta) \) is the orthocenter of the triangle with the vertices \( A(2, 5), B(1, 5), C(1, 4) \), then \( a + \beta = \):
- AP EAMCET - 2024
- Mathematics
- Some Properties of a Triangle
- In \( \triangle ABC \), if \( AB:BC:CA = 6:4.5 \), then \( R : r = \)
- AP EAMCET - 2024
- Mathematics
- Some Properties of a Triangle
- In a triangle ABC, if \( BC = 5 \), \( CA = 6 \), \( AB = 7 \), then the length of the median drawn from \( B \) onto \( AC \) is:
- AP EAMCET - 2024
- Mathematics
- Some Properties of a Triangle
- In a triangle, if the angles are in the ratio \( 3:2:1 \), then the ratio of its sides is:
- AP EAMCET - 2024
- Mathematics
- Some Properties of a Triangle
- In \( \triangle ABC \), if \( (r_2 - r_1)(r_3 - r_1) = 2r_2r_3 \), then \( 2(r + R) = \):
- AP EAMCET - 2024
- Mathematics
- Some Properties of a Triangle
View More Questions
Questions Asked in CBSE Class IX exam
- Here is your diary entry when you visited Agra. Read the points and try to write a travelogue describing your visit to Agra and the Taj Mahal. You may add more details.
January 2003 — rise before dawn — take the Shatabdi Express at 6.15 a.m. from Delhi — meet a newly-married couple on train — talk about Himachal Pradesh — get off the train — enter the once-grand city, Agra — twisted alleys — traffic dense — rickshaws, cars, people — vendors selling religious artifacts, plastic toys, spices and sweets — go to the Taj Mahal — constructed entirely of white marble — magical quality — colour changes with varying of light and shadow — marble with gemstones inside — reflection of the Taj Mahal in the pond — school-children, tourists — tourist guides following people.- CBSE Class IX
- Kathmandu
- 1.The (site, cite) of the accident was (ghastly/ghostly).
2. Our college (principle/principal) is very strict.
3. I studied (continuously/continually) for eight hours.
4. The fog had an adverse (affect/effect) on the traffic.
5. Cezanne, the famous French painter, was a brilliant (artist/artiste).
6. The book that you gave me yesterday is an extraordinary (collage/college) of science fiction and mystery. 7. Our school will (host/hoist) an exhibition on cruelty to animals and wildlife conservation.
8. Screw the lid tightly onto the top of the bottle and (shake/shape) well before using the contents.- CBSE Class IX
- If I were you
- Is there any difference between the two roads as the poet describes them:
(i) in stanzas two and three?
(ii) in the last two lines of the poem?- CBSE Class IX
- The fun they had
- Discuss what these phrases mean to you.
(i) a yellow wood
(ii) it was grassy and wanted wear
(iii) the passing there
(iv) leaves no step had trodden black
(v) how way leads on to way- CBSE Class IX
- The fun they had
- A driver of a car travelling at \(52\) \(km \;h^{–1}\) applies the brakes Shade the area on the graph that represents the distance travelled by the car during the period. (b) Which part of the graph represents uniform motion of the car?
- CBSE Class IX
- Graphical Representation of Motion
View More Questions