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 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $b$ when $c=13 \ cm$ and $a=5 \ cm$.
Question 4 :
<span>In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find </span>$a$ when $c=25 \ cm$ and $b=7 \ cm$.
Question 5 : <span>The sides of a triangle are given below. </span><span>Check whether or not the sides form a right-angled triangle.</span><div>$3cm, 8cm, 6cm$</div>
Question 6 :
In $\Delta$ ABC, angle C is a right angle, then the value<br>of tan $A + tan B $is<br><br>
Question 7 :
If the measures of sides of a triangle are $(x^2-1) cm, (x^2 +1) cm$, and $2x cm$, then the triangle will be:
Question 8 :
Assertion: If the area of squares on any two sides of a right-angled triangle are known, the area of remaining square can be calculated.
Reason: For a right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares of its remaining two sides.
Question 9 :
<span>Find whether the sides of the $\triangle$ as given below form a $rt\angle d \triangle$ or not. </span>8 cm, 15 cm and 17 cm.<br/>State true if yes and false otherwise.
Question 10 :
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 11 :
Do the sides, $12, 37$ and $35$ form a right triangle? If so, which side is the hypotenuse?<br/>
Question 12 :
If the two legs of a right angled triangle are equal and the square of the hypotenuse is $100cm^2$, then the length of each leg is _________.
Question 13 :
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 15 :
It is easy to construct sets of Pythagorean Triples, When m and n are any two ............... integers.
Question 16 :
Which of the following can be the sides of a right angled triangle ?
Question 17 : <div><span>State true or false:</span><br/></div><div><span><br/></span></div><div><span>Pythagorean triplet, whose one member is 14, is 14, 48, 50.</span><br/></div><br/>
Question 20 :
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 21 :
In $\triangle{ABC}$, $\angle{B}=90$, $AB=8\:cm$ and $BC=6\:cm$. The length of the median BM is
Question 22 :
In $ \displaystyle \bigtriangleup $ ABC , angle C is a right angle, then the value of $ \displaystyle \tan A+ \tan B is $
Question 23 :
A Pythagorean Triplet always...............of all even numbers, or two odd numbers and an even number.
Question 24 :
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 25 :
Find the hypotenuse of right angled triangle if the other sides are $3,4$ respectively.
Question 26 :
The diameter of a circumcircle is the diagonal of a rectangle which is $10 cm$ and breadth of the rectangle is $6 cm$. Find its length.
Question 27 :
Which of the following cannot be the sides a right angle triangle?<br>
Question 28 :
Two poles of height $6m$ and $11m$ stand on a plane ground. If the distance between the feet of the poles is $12m$, find the distance between their tops
Question 29 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $c$ when $a=8\ cm$ and $b=6\ cm$.
Question 30 :
Which of the following numbers form pythagorean triplet? <br/>i) $2, 3, 4$<br/>ii) $6, 8, 10$<br/>iii) $9, 10, 11$<br/>iv) $8, 15, 17$
Question 31 :
In $\triangle ABC$ is $\angle B$ is right angle. If $a=16$ and $c=12$ then $b=$ __________
Question 32 :
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 33 : <div><span>The Pythagorean triplet of number </span><span>18 is 18,80,82</span></div><span>State true or false.</span><br/>
Question 34 :
A............ can never be made up of all odd numbers or two even numbers and one odd number.
Question 35 :
A right angled triangle has $24,7cm $ as its sides . What will be its hypotenuse?
Question 36 :
A man goes 40 m due north and then 50 m due west. Find his distance from the starting point.
Question 37 : <div>Pythagorean triplet, whose one member is 16, is 16,63,65.<br/>State true or false.<br/></div>
Question 38 :
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 39 :
Select the correct alternative and write the alphabet of that following :<br>Out of the following which is the Pythagorean triplet ?
Question 41 :
If three sides of a right-angled triangle are integers in their lowest form, then one of its sides is always divisible by
Question 42 : <span>The sides of a triangle are given below. </span><span>Check whether or not the sides form a right-angled triangle.</span><div>$13cm, 12cm, 5cm$</div>
Question 43 :
We use ........... formula to find the lengths of the right angled triangles.
Question 44 :
The length of the hypotenuse of a right angled $\Delta$ le whose two legs measure 12 cm and 0.35 m is:
Question 46 :
Use Pythagoras theorem to check which of following triplets would make a right triangle.<br/>
