Test Details

Pythagoras Theorem

Jan 14, 5:30 PM

60 minutes

Jan 14, 6:30 PM

40.0 marks

MCQ

20 questions

Swati

Class Details

Maths

Class 10

Maths

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Question Text

Question 1 :
In a $\triangle ABC$, $AB= 4$ cm and $AC = 8$ cm. If M is the midpoint of BC and $AM = 3$ cm, then the length of $BC$ in cm is:

Question 2 :
If the two legs of a right angled $ \Delta$ are equal and the square of the hypotenuse is $100$, then the length of each leg is

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

Question 4 :
Each of the equal sides of an isosceles triangle is $2$ cm more than its height and the based of the triangle is $12$ cm. Find the area of the triangle.

Question 5 :
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 6 :
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is

Question 7 :
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 9 :
Some questions and their alternative answer are given. Select the correct alternative . Out of the following which is the pythagorean triplet?

Question 10 :
Pythagorean triple is one in which a, b and c are

Question 11 :
Do the sides, $15, 17$ and $8$ form a right triangle? If so, which side is the hypotenuse?

Question 12 :
Find the perimeter of an isosceles right triangle with each of its congruent as 7cm.

Question 13 :
Some question and their alternative answer are given. Select the correct alternative . If a , b ,c are sides of a triangle and $a^{2} + b ^{2}= c^{2} $, name the type of triangle

Question 14 :
Three sides of a triangle are 6 cm, 12 cm and 13 cm then

Question 16 :
State whether the statements are true (T) or false (F). For every natural number $m, (2m - 1, 2m^2 - 2m, 2m^2 - 2m^2 + 1)$ is a Pythagorean triplet.

Question 17 :
A straight line segment of length 'K' moves with its ends on the axes. Find the locus of P which divides the segment on the ratio 1:2.

Question 18 :
In Pythagoras theorem triplets the lengths of the sides of the right angled triangle are in the ratio.

Question 19 :
State whether the following statements are true (T) or false (F): In a triangle. the sum of squares of two sides is equal to the square of the third side.

Question 20 :
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?

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