Test Details

Pythagoras Theorem

Feb 03, 7:00 PM

90 minutes

Feb 03, 11:00 PM

38.0 marks

MCQ

22 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 8th Scolership Exam

Mathematics

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Question Text

Question 1 :
In $\Delta ABC,$ if $AB =6\sqrt{3}$ cm, $AC=12$ cm and $BC=6$ cm, then angle B is equal to:<br/>

Question 2 :
A right triangle has angles which measure $30, 60$ and $90$ degrees. If the perimeter of this triangle is $15 +$ $\displaystyle 5\sqrt{3}$, then the length of the hypotenuse of this triangle is

Question 3 :
A right angled triangle has $24,7cm $ as its sides . What will be its hypotenuse?

Question 4 :
<div><span>The Pythagorean triplet of number </span><span>18 is 18,80,82</span></div><span>State true or false.</span><br/>

Question 5 :
The hypotenuse of a grassy land in the shape of a right triangle is $1$ meter more than twice the shortest side. If the third side is $7$ meters more than the shortest side, find the sides of the grassy land.

Question 6 :
A Pythagorean Triplet always...............of all even numbers, or two odd numbers and an even number.

Question 7 :
In a right triangle the square of the hypotenuse is equal to twice the product of the legs. One of the acute angles of the triangle is:

Question 8 :
If the lengths of the sides of a triangle does not satisfy the rule of $\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$, then that triangle does not contain a

Question 9 :
Which of the following cannot be the sides a right angle triangle?<br>

Question 10 :
<div>Pythagorean triplet, whose one member is 16, is 16,63,65.<br/>State true or false.<br/></div>

Question 11 :
State whether the statements are true (T) or false (F).<br>For every natural number $m, (2m - 1, 2m^2 - 2m, 2m^2 - 2m^2 + 1)$ is a Pythagorean triplet.

Question 14 :
If in a triangle, square of one side is equal to the sum of the squares of the other two sides. What is the angle opposite to the longest side?<br/>

Question 15 :
Mark the correct alternative of the following.<br>Which of the following is/are not Pythagorean triplet(s)?

Question 16 :
Write the correct answer from the given four options.<br>The hypotenuse of a right triangle with its legs of lengths $3x \times 4x$ is

Question 17 :
The hypotenuse of a right triangle is $6$ m more than twice the shortest side. If the third side is $2$ m less than the hypotenuse, find the hypotenuse of the triangle.<br>

Question 18 :
For a right-angled triangle with sides $a$, $b$ and $c$, the following equation for the area of squares drawn on the sides always holds true:<br>$a^2=b^2+c^2$<br>

Question 20 :
If the smallest number in a Pythagorean triplet is $14$. Find the other two numbers.

Question 21 :
$\frac{a}{r}$, a, ar are the sides of a triangle. If the triangle is a right angled triangle, then $r^2$ is given by

Question 22 :
Use Pythagoras theorem to check which of following triplets would make a right triangle.<br/>

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