Questions

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31 questions · timed · auto-graded

Question 12 Marks
A long pole is made to stand against a wall in such a way that its foot is 16 m from the wall and its top reaches a window 12 m above the ground. Find the length of the pole.
Answer
20 m
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Question 22 Marks
A man travels 90 km due East and then 56 km due South. How far is he from the starting point?
Answer
106 km
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Question 32 Marks
The two legs of a right triangle are equal and the square of its hypotenuse is 50 cm . Find the length of each leg.
Answer
5 cm
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Question 42 Marks
The length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm . Find the length of its third side.
Answer
32 cm
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Question 52 Marks
In a right angled triangle, find the length of the hypotenuse, if the other two sides measure 12 cm and 35 cm .
Answer
37 cm
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Question 62 Marks
Find the measure of each of the two equal angles of an isosceles right-angled triangle.
Answer
$45^{\circ}$
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Question 72 Marks
One of the two equal angles of an isosceles triangle measures $65^{\circ}$. Find the measure of each angle of the triangle.
Answer
$65^{\circ}, 65^{\circ}, 50^{\circ}$
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Question 142 Marks
The ratio between the base angle and the vertical angle of an isosceles triangle is $2: 5$. Find each angle of the triangle.
Answer
$x=55^{\circ \circ}$
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Question 152 Marks
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
Answer
$40^{\circ}, 40^{\circ}, 100^{\circ}$
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Question 162 Marks
The vertical angle of an isosceles triangle is twice the sum of its base angles. Find each angle of the triangle.
Answer
$20^{\circ}, 80^{\circ}, 80^{\circ}$
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Question 172 Marks
Each base angle of an isosceles triangle is $15^{\circ}$ more than its vertical angle. Find each angle of the triangle.
Answer
$120^{\circ}, 30^{\circ}, 30^{\circ}$
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Question 182 Marks
In the given figure, $\triangle PQR$ is an isosceles triangle in which $PQ = PR$ and $\angle Q =70^{\circ}$. Find $\angle P$.
Image
Answer
$\angle P =40^{\circ}$
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Question 282 Marks
Find the unknown angle marked in the figure :
Image
Answer
$\angle P =40^{\circ}, \angle Q =120^{\circ}, \angle R =20^{\circ}$
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Question 302 Marks
In a right-angled triangle if one of the acute angles measures $40^{\circ}$, find the measure of the other acute angles.
Answer
$50^{\circ}$
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Question 312 Marks
If all the three angles of a triangle are of the same measure, find the measure of each of the angles.
Answer
$60^{\circ}$
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