All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 10 Exam  >  Class 10 Questions  >  In the given figure, AB=BC and angle BAC=15 d... Start Learning for Free
SaveJoin the Discussion on the App
In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.?
Clear all your Class 10 doubts with EduRev
Most Upvoted Answer
In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find th...
Community Answer
In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find th...
Given: AB=BC=10cm, angle BAC=15 degree

To find: Area of triangle ABC

Solution:

  1. Find angle ABC: Since AB=BC, angle ABC=angle BAC=15 degree

  2. Find angle ACB: Since the angles of a triangle add up to 180 degree, angle ACB=180-15-15=150 degree

  3. Find height of triangle: Let the height of triangle ABC be h. Draw a perpendicular from point B to AC and let it meet AC at point D. Triangle ABD is a right angled triangle, therefore angle BAD=75 degree (half of angle BAC). Since AB=BD, angle ABD=angle BAD=75 degree. Therefore, angle BDC=180-75-75=30 degree. In triangle BDC, BD=h (as D is the midpoint of AC). Therefore, height of triangle ABC, h=BD=sin(30 degree) x BC=sin(30 degree) x 10=5 cm

  4. Find area of triangle ABC: Area of triangle ABC=1/2 x base x height=1/2 x AC x h=1/2 x 20 x 5=50 cm^2



Therefore, the area of triangle ABC is 50 cm^2.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10View all

Top Courses for Class 10

In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.?
Question Description
In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.?.
Solutions for In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.? defined & explained in the simplest way possible. Besides giving the explanation of In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.?, a detailed solution for In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.? has been provided alongside types of In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.? theory, EduRev gives you an ample number of questions to practice In the given figure, AB=BC and angle BAC=15 degree, AB= 10 cm. Find the area of triangle ABC.? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup