Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

QUE
begin mathsize 26px style increment A B C space i s space a space r i g h t space a n g l e d space a t space B. D space i s space t h e space m i d p o i n t space o n space B C. p r o v e space t h a t A C squared equals 4 A D squared minus 3 A B squared end style
Asked by GURSHARNSUITS | 22 Aug, 2015, 09:02: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space r i g h t space t r i a n g l e space r i g h t space a n g l e d space a t space B. G i v e n space t h a t space D space i s space t h e space m i d p o i n t space o f space B C.
A p p l y i n g space P y t h a g o r a s space T h e o r e m space i n space triangle A B C comma space w e space h a v e comma A C squared equals A B squared plus B C squared... left parenthesis 1 right parenthesis S i n c e space D space i s space t h e space m i d p o i n t space o f space B C comma space w e space h a v e comma space B D equals C D T h u s comma space B C equals 2 B D rightwards double arrow B C squared equals 4 B D squared... left parenthesis 2 right parenthesis A g a i n space i n space r i g h t space t r i a n g l e space A B D comma space w e space h a v e comma A D squared equals A B squared plus B D squared rightwards double arrow B D squared equals A D squared minus A B squared... left parenthesis 3 right parenthesis U sin g space E q u a t i o n s space left parenthesis 1 right parenthesis comma space left parenthesis 2 right parenthesis space a n d space left parenthesis 3 right parenthesis comma space w e space h a v e comma A C squared equals A B squared plus B C squared space space space space space space space space equals A B squared plus 4 B D squared space space space space space space space space equals A B squared plus 4 open parentheses A D squared minus A B squared close parentheses space space space space space space space space equals A B squared plus 4 A D squared minus 4 A B squared space space space space space space space space space equals 4 A D squared minus 3 A B squared space space space space space space space space space space
Answered by Vimala Ramamurthy | 23 Aug, 2015, 10:00: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
equilateral triangle ABC , D is a point on side BC such that 3BD = BC. Prove that 9AD2 = 7AB2.
question image
Asked by deepak13376 | 23 Sep, 2020, 01:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Question
question image
Asked by arindeep.singh | 27 Apr, 2020, 10:26: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If A is the area of right triangle and b is one of the sides containing the right angle,then prove that the length of the altitude on the hypotenuse is 2Ab/√(b^4+4A^2)
Asked by rhtwatts | 06 Mar, 2019, 03:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The height of a moving truck is 8 m. The distance from the bottom edge of the ramp on the ground to the truck is 15 m. What is the length of the ramp?
Asked by Topperlearning User | 26 Jul, 2017, 01:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
In an equilateral triangle AD is the altitude drawn from A on side BC. Prove that 3AB2 =4AD2
Asked by Topperlearning User | 26 Jul, 2017, 01:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The area of a right triangle is 210 sq cm. If the smallest side is 12 cm, what is the hypotenuse?
Asked by Topperlearning User | 26 Jul, 2017, 01:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
What is the value of a if a, a-1,a+8 are the lengths of the sides of a right triangle where a is a natural number?
Asked by Topperlearning User | 26 Jul, 2017, 01:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
In quadrilateral ABCD, angle B space equals space 90 degree. If AD2 = AB2 + BC2 + CD2. Prove that angle A C D space equals space 90 degree.
Asked by Topperlearning User | 26 Jul, 2017, 01:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
The diagonals AC and BD of a rhombus ABCD are of length 6 cm and 8 cm respectively. What is the perimeter of the rhombus?
Asked by Topperlearning User | 05 Dec, 2013, 08:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Prove that if for a right triangle the sides containing the right angle have even numbers as their lengths, then the third side can"t be an odd number.
Asked by Topperlearning User | 26 Jul, 2017, 01:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×