A right triangle has hypotenuse of le...

A right triangle has hypotenuse of length `p\ c m` and one side of length `q\ c m` . If `p-q=1` , find the length of the third side of the triangle.

Text Solution

Verified by Experts

The correct Answer is:

` sqrt(p+q) ` cm

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

CHAPTERWISE REVISION (STAGE 1)
ICSE|Exercise Rectillinear figures|24 Videos
CHAPTERWISE REVISION (STAGE 1)
ICSE|Exercise Area theorems|11 Videos
CHAPTERWISE REVISION (STAGE 1)
ICSE|Exercise Mid-point and intercept theorem|11 Videos
CHAPTER REVISION (STAGE 2)
ICSE|Exercise DISTANCE FORMULA |12 Videos
CHAPTERWISE REVISION (STAGE 3)
ICSE|Exercise DISTANCE FORMULA |11 Videos

Similar Questions

Explore conceptually related problems

Draw a right triangle with hypotenuse of length 5\ c m and one side of length 4\ c mdot

Draw a right triangle whose hypotenuse is of length 4\ c m and one side is of length 2. 5\ c mdot

Knowledge Check

If length of hypotenuse of a right-angled triangle exceeds the length of one side by 2cm and exceeds twice the length of other side by 1cm, then the length of hypotenuse of the triangle is:

A

17cm

B

1cm

C

15cm

D

22cm

Similar Questions

Explore conceptually related problems

Find the length of side BC in the given triangle.

If two sides of a tringle are of length 5 cm and 1.5 cm, then the length of third side of the triangle cannot be

In a right-angled triangle, the square of the longest side is 625 sq. cm. if the length of the second side is 7 cm, find the length of the third side of the triangle.

Draw a right triangle having hypotenuse of length 5. 4\ c m , and one of the acute angles of measure 30^0dot

Draw a right triangle having hypotenuse of length 5. 4\ c m , and one of the acute angles of measure 60^0dot

The perimeter of a triangle is 30cm. Two sides are 12cm and 10cm. What is the length of the third side of the triangle?

The hypotenuse of a right triangle is 13cm long. If one of the remaining two sides is of length 5cm, find the length of another side.

ICSE-CHAPTERWISE REVISION (STAGE 1) -pythagoras therorem

A right triangle has hypotenuse of length p\ c m and one side of...
02:18
|
In a quadrilateral ABCD angle B = angle D = 90 ^(@) Prove that : 2A...
02:06
|
In an equilateral triangle ABC, D is a point on side BC such that B D=...
08:00
|
In the following figure, angle ABC= 90 ^(@) AB = (x+8) cm , BC = (x...
03:55
|
In the given figure, triangle ABC is a right triangle with angleB=90^(...
05:19
|
In triangle ABC, angle ABC - 90^(@) , AB = 2a+ 1 and BC = 2a^(2) +2a...
07:15
|
In a right angled triangle, five times the square on the hypotenuse is...
06:41
|
In an equilateral triangle ABC, BE is perpendicular to side CA. Prove ...
03:39
|
In a quadrilateral ABCD, angleB=90^(@) and angleD=90^(@). Prove that :...
02:25
|