The Triangle and Its Properties Test

Result

The Triangle and Its Properties Test - 28

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Weekly Quiz Competition

Question 1
1 / -0

The distance from A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C?
I. $$11$$
II. $$1$$
III. $$7$$

A
I only

B
II only

C
I and II only

D
II and III only

E
I, II and III

Solution
Question 2
1 / -0

In the given figure, if AD is a median of $$\triangle ABC$$, the

A
AB + AC < 2 AD

B
AB + AC > 2 AD

C
AB + AC < AE

D
AC + CE < AE
Question 3
1 / -0

In a triangle $$ABC$$, $$\angle ABC={ 90 }^{ o },\angle ACB={ 30 }^{ o }$$, $$AB=5cm$$. What is the length of $$AC$$?

A
$$10cm$$

B
$$5cm$$

C
$$5\sqrt { 2 } cm$$

D
$$5\sqrt { 3 } cm$$
Question 4
1 / -0

$$ABC$$ is a right-angled triangle, right angled at $$C$$ and $$p$$ is the length of perpendicular from $$C$$ on $$AB$$. If $$a,b,c$$ are the sides of the triangle, then which one of the following is correct?

A
$$({ a }^{ 2 }+{ b }^{ 2 }){ p }^{ 2 }={ a }^{ 2 }{ b }^{ 2 }$$

B
$${ a }^{ 2 }+{ b }^{ 2 }={ a }^{ 2 }{ b }^{ 2 }{ p }^{ 2 }$$

C
$${ p }^{ 2 }={ a }^{ 2 }+{ b }^{ 2 }$$

D
$${ p }^{ 2 }={ a }^{ 2 }-{ b }^{ 2 }$$
Question 5
1 / -0

The hypotenuse of a right triangle is $$3\sqrt{10}$$ units. If the smaller side is tripled and the lower side is doubled, new hypotenuse becomes $$9\sqrt{5}$$ units. What are the lengths of the smaller and longer sides of the right triangle respectively?

A
$$5$$ units, $$9$$ units

B
$$5$$ units, $$6$$ units

C
$$3$$ units, $$9$$ units

D
$$3$$ units, $$6$$ units
Question 6
1 / -0

Which of the following is a right angled triangle?

A
$$\triangle APD$$

B
$$\triangle DOC$$

C
$$\triangle BDC$$

D
$$\triangle AOD$$
Question 7
1 / -0

State and prove isosceles angle properly
If $$AB = AC$$, then what is value of $$\angle a$$?

A
$$40^o$$

B
$$20^o$$

C
$$120^o$$

D
$$100^o$$
Question 8
1 / -0

Which of the following describes the given triangle?

A
Isosceles, obtuse

B
Equilateral, acute

C
Isosceles, right

D
Equilateral, obtuse
Question 9
1 / -0

'Euclid' is associated with

A
Law of Heredity

B
Atomic Theory

C
Geometry

D
None of these
Question 10
1 / -0

A triangle with one right angle and two acute angles is called _______ angled triangle.

A
Right

B
Acute

C
Obtuse

D
Scalene