In an isosceles triangle, prove that the altitude from the vertex divides the triangle into two congruent triangles..
Asked by Topperlearning User | 10th Aug, 2017, 12:46: PM
In triangle PQR, PQ = PR and PS QR
In PQS and PSR
PQ = PR (given)
PS = PS (common)
PSQ = PSR (90o each)
PQS PSR (RHS)
Answered by | 10th Aug, 2017, 02:46: PM
- in an isosceles triangle ABC with AB=AC, the bisectors of angleB and angle C intersect each other at o. Join A at O. show that Ob= OC that
- How to proove RHS congruence
- In the given figure, BAAC and DEEF such that BA = DE and BF = DC. Prove that AC = EF.
- ABC is an isosceles triangle with AB = AC. Bisectors of B and C intersect at O. Prove that BO = CO and AO bisects BAC.
- ABCD is a square, X and Y are the points on the sides AB and DC respectively such that BY = CX. Prove that CY = BX and CBY = BCX.
- AD is the median of ABC. If BL and CM are drawn perpendiculars on AD produced, prove that BL= CM.
- If two isosceles triangles have a common base, then the line joining their vertices bisects the base at right angles.
- A point O is taken inside an equilateral four sided figure ABCD such that its distances from the angular points D and B are equal. Show that AO and OC are in one and the same straight line.
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number