## Quant Question Of The Day: 27

[latexpage]

Geometry

The diagonals AC and BD of quadrilateral ABCD are perpendicular to each other. If AB = 3, BC = 4 , CD = 5 , find the length of AD.

Categories:
Quant question of the day, Question of the day

[latexpage]

Geometry

The diagonals AC and BD of quadrilateral ABCD are perpendicular to each other. If AB = 3, BC = 4 , CD = 5 , find the length of AD.

If intersection point is P, then

AP² + BP² = AB²

BP² + CP² = BC²

CP² + DP² = CD²

DP² + AP² = AD²

we can see that AD² + BC² = AB² + CD²

AD = √(3² + 5² – 4²) = 3√2

New Question: Unit Digits and Last Two Digits

In a test match in cricket, the scores of Rohit and Vir...

By nhuadovan , 1 year ago

New Question: Unit Digits and Last Two Digits

The 111th digit of the series 149162536496481........ i...

By nhuadovan , 1 year ago

New Question: Unit Digits and Last Two Digits

how many perfect squares of natural numbers between 300...

By nhuadovan , 1 year ago

New Question: Permutation and combination

Find the number of ways to distribute 2n different ball...

By nhuadovan , 1 year ago

- LouisHayes on Quant Question Of The Day: 275
- pankaj saket on GK Question of the day: 22
- sajal on Puzzle of The Day
- sajal on Puzzle of The Day
- Lalit Bansal on Quant Question Of The Day: 275
- Rajendra Kumar on Countdown to CAT 2020|DAY 87|LRDI
- Shruti Tiwari on GK Question of the day: 21
- Deepika on GK Question of the day: 21
- Deepika on Quant Question Of The Day: 275
- Anubhav Swaroop on Quant Question Of The Day: 269

© 2007-2020 by TathaGat.

3√2

3 under root 2

3root2 (using Pythagoras theorems in all triangles)

3 root 2