Statement of Pythagoras' Theorem
Trending Questions
In case of right angle triangle, circumradius is given by?
two times the hypotenuse.
3 times the hypotenuse
half of the hypotenuse.
4 times the hypotenuse
In a circle of radius 10 cm, a chord subtends a right-angle at the centre, then the length of the chord is
10
20
10√2
20√2
In figure, arcs have been drawn with radii, 14 cm each and with centres P, Q and R. Find the area of the shaded region.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/14447/content_22.png)
In the given figure, the length of side AB is :
3√2 units
2√2 units
4√2 units
√2 units
According to
The diagonal of a rectangular field is 16m longer than the shorter side .the longer side is 14 more than the shorter side then find the length of the side of a field.
ABC is a triangle, D is the mid-point on side BC.
Given, AB=2 cm, AC=4 cm and BD=3 cm
Find the value of AD.
1 cm
3 cm
4 cm
2 cm
In a triangle PQR right angled at Q if QS = SR then prove that PR2 = 4PS2 - PQ2
State whether the following are true or false. Justify your answer.
(v) sin θ = 43 for some angle θ.
In Figure, AD is a median of a triangle ABC and AM⊥BC.
Prove that :
(i)AC2=AD2+BC×DM+(BC2)2
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1505678/original_9.png)
(2)
In Figure, AD is a median of a triangle ABC and AM⊥BC.
Prove that : (ii)AB2=AD2−BC×DM+(BC2)2
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1505700/original_9.png)
(3)
In Figure, AD is a median of a triangle ABC and AM⊥BC.
Prove that : (iii)AC2+AB2=2AD2+12BC2
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1505726/original_9.png)
- 24
In the given figure, BD bisects ∠ABC and BD is perpendicular to AC. If the lengths of the sides of the triangle are expressed in terms of x and y as shown, then find the value of x and y.
![](https://search-static.byjusweb.com/question-images/byjus/ckeditor_assets/pictures/951793/original_content_q15.png)
- 10
△ABC is a right angled triangle, right angled at B. BD is a perpendicular as shown. Which of the following is true?
AD2 + CD2 = BD2 + AB2
AB2 + CD2 = BC2 + AD2
None of these
AB.BC = AD.DC
Write True or False and justify your answer :
If AOB is a diameter of a circle and C is a point on the circle, then AC2+BC2=AB2
- 53
- 54
- 35
- 45
What is the length of the third side in the above triangle?
tanθ
cotθ
secθ
cosθ
AB is the diameter of the circle with centre O. P is a point on the circle such that PA=2PB. If AB=d, find BP.
√2d
√5d
2√2d
d/√5
AB is the diameter of the circle with centre O. P is a point on the circle such that PA=2PB. If AB=d, find BP.
√2d
√5d
2√2d
d/√5
In Pythagoras exercise we have questions which says DB=3CD, or something like that is given to us in the question. And with this we find out the measurements of the sides, how to find those lengths.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/951793/original_content_q15.png)
Which of the following are Pythagorean triplets?
4 cm , 6 cm , 8 cm
2 cm , 17 cm , 9 cm
24 cm , 10 cm , 26 cm
13 cm , 27 cm , 30 cm
- AD×DC
- AB2+BC2
- BC2−AD×DC
- ΔADB
- 2√pq
- 2p2q2
- 2pq
- Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion.
- Assertion is correct, but Reason is incorrect.
- Assertion is incorrect, but Reason is correct.
- True
- False
If the ratio of three sides of a triangle is √3:√4:√5, then it is a right angle triangle.
True
False