Theorem: Ratio of the areas of two similar triangles is equal to the ratio of the square of their corresponding sides.
Given: To Prove: Construction: Draw AD BC and PS QR Proof: In ABD and PQS
[ By AA Similarity Criterion ] Ratio of corresponding sides of similar triangle ..........................(1) But we are given that ..........................(2) From Eq (1) and (2) Now
As Hence |
Illustration: If the area of two similar triangles are equal, prove that they are congruent.
Let Given We know that AB = PQ , BC= QR and AC = PR Hence [By SSS Criterion of Congruence] |
Two triangles ABC and DEF are similar to each other in which AB = 10 cm and DE = 8 cm. Find the ratio of the areas of . | |||
Right Option : A | |||
View Explanation |
In the following figure, . If AB = 2DE and area of , find the area of | |||
Right Option : C | |||
View Explanation |
ABC and BDE are two equilateral triangles such that D is the midpoint of BC. Ratio of the areas of triangles ABC and BDE is _________________ | |||
Right Option : D | |||
View Explanation |
It was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Abhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
My experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
It was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Being a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.