Test Details

Pythagoras Theorem

Feb 03, 8:00 PM

90 minutes

Feb 03, 11:00 PM

50.0 marks

MCQ

30 questions

vinayak sir

Hi good morning students सर्व विद्यार्थी सकाळी आठ ते अकरा या वेळेत येथे उपस्थित राहतील काही अडचणी असल्यास आपण विचारू शकता सर्व विषयाचे तास सुरू आहेत

Class Details

Mathematics

Class 10th NTS EXAM.

Mathematics

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Question Text

Question 1 :
Is it true that a Pythagorean Triple can never be made up of all odd numbers?

Question 2 :
If Pythagoras theorem states that $\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$ then what does converse of Pythagoras theorem state

Question 4 :
A ladder $13m$ long rests against a vertical wall. If the foot of the ladder is $5m$ from the foot of the wall, find the distance of the other end of the ladder from the ground.

Question 5 :
The length of the hypotenuse of a right angled $\Delta$ le whose two legs measure 12 cm and 0.35 m is:

Question 6 :
Given the measures of the sides of the triangle , identify which measures are in the ratio 3 : 4 : 5

Question 7 :
Find the side of the square whose diagonal is $16 \sqrt 2$ cm.

Question 8 :
Triangle ABC is right -angled at C. Find BC, If AB = 9 cm and AC = 1 cm. In each case, answer correct to two place of decimal.

Question 9 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.<div>$3cm, 8cm, 6cm$</div>

Question 10 :
In $\triangle{ABC}$, $\angle{B}=90$, $AB=8\:cm$ and $BC=6\:cm$. The length of the median BM is

Question 11 :
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is

Question 12 :
The lengths of the sides of a right triangle are $5x + 2$, $5x$ and $3x - 1$. <div>If $x > 0$ then the length of each side is?</div>

Question 13 :
Is the triangle with sides $ 25\,cm , 5\,cm $ and $ 24\,cm $ a right triangle ? Give reason for your answer.

Question 14 :
The Pythagoras theorem , In the right triangle, the square of the hypotenuse is equal to the sum of other two sides. What are we proving here?

Question 16 :
In Pythagoras theorem triplets the lengths of the sides of the right angled triangle are in the ratio.

Question 17 :
ABC is right angled triangle, right angle at B, $AC=25$, $AB=7$ then BC= ?

Question 18 :
A certain right angled triangle has its area numerically equal to its perimeter. The length of its each side is an even integer. What is the perimeter?

Question 19 :
If $AD,BE$ and $CF$ are the medians of a $\Delta ABC,$ then evaluate $\displaystyle \left ( AD^{2}+BE^{2}+CF^{2} \right ):\left ( BC^{2}+CA^{2}+AB^{2} \right )=$

Question 20 :
Three sides of a triangle are 6 cm, 12 cm and 13 cm then

Question 21 :
Find a Pythagorean triplet in which one member is 12

Question 22 :
STATEMENT - 1 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. STATEMENT - 2 : If in a triangle, square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is $60$ $^{\circ}$.

Question 23 :
<div>The triangle formed by the vertices $A(1,0,1) \quad B(2,-1,4) $ and $C(3,-4,-1)$ is</div>

Question 24 :
The altitude of an equilateral triangle of side lenght of $2\sqrt{3}$ cm is:

Question 25 :
In a $\Delta$ $ABC, AC = 6, BC = 2, AB = 8$, find the value of $AD$. (Use Apollonius theorem).

Question 26 :
A ladder of $3.9m$ length is laid against a wall. The distance between the foot of the wall and the ladder is $1.5m$. Find the height at which the ladder touches the wall.

Question 28 :
A right triangle has hypotenuse of length p cm and one side of length q cm. If p-q = 1, express length of the third side of the right triangle in term of p is

Question 29 :
Find the perimeter of an isosceles right triangle with each of its congruent as 7cm.

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