CBSE Questions for Class 7 Maths The Triangle And Its Properties Quiz 6 - MCQExams.com

The length of side of an equilateral triangular garden whose perimeter is $$66 \ m$$ is:
  • $$66 \ m$$
  • $$11 \ m$$
  • $$3 \ m$$
  • $$22 \ m$$
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:
  • Obtuse angle triangle 
  • Acute angle triangle 
  • Right angle triangle 
  • None of these 
In figure, sides QP and RQ of $$\Delta PQR$$ are produced to points S and T respectively. If $$\angle SPR=135^o$$ and $$\angle PQT=110^o$$, find $$\angle PRQ$$.

244055_605e331be676497fbb32f887d1665bd9.png
  • $$85^o$$
  • $$65^o$$
  • $$45^o$$
  • $$35^o$$
If the angles of a triangle are in the ratio $$2:3:4$$, find the three angles.
  • $$80^o, 120^o, 160^o$$
  • $$20^o, 30^o, 40^o$$
  • $$40^o, 60^o, 80^o$$
  • None of these
In fig, then $$\angle A+\angle B+\angle C+\angle D+\angle E+\angle F=$$

243960_f7d17ff8ff3445f8b1c7f338ed80d84c.png
  • $$180^o$$
  • $$270^o$$
  • $$360^o$$
  • $$540^o$$
In triangle $$ABC, D$$ is any point on side $$BC$$, then: 
$$ AB + BC + AC > 2AD$$
  • True
  • False
Which of the following is true?
(i) A triangle can have two right angles.
(ii) A triangle can have all angles less than $$60^o$$.
(iii) A triangle can have two acute angles.
  • Only (ii)
  • Only (i)
  • Only (iii)
  • All are true
In $$\Delta\, ABC$$, if $$AB = BC$$ and $$\angle\, B\, =\, 80^{\circ},$$ then $$\angle C\, =$$ 
  • $$50^{\circ}$$
  • $$100^{\circ}$$
  • $$130^{\circ}$$
  • None
Which of the following statement(s) is/are false with respect to quadrilateral?
  • Each diagonal of a quadrilateral divides it into two triangles.
  • Each side of a quadrilateral is less than the sum of the remaining three sides.
  • A quadrilateral can at-most have three obtuse angles.
  • A quadrilateral has four diagonals.
The angles in a right angled isosceles triangle are 
  • $$\displaystyle 90^{\circ},30^{\circ},60^{\circ}$$
  • $$\displaystyle 90^{\circ},20^{\circ},70^{\circ}$$
  • $$\displaystyle 90^{\circ},40^{\circ},50^{\circ}$$
  • $$\displaystyle 90^{\circ},45^{\circ},45^{\circ}$$
If  $$4$$ cm and $$3$$ cm are the lengths of two sides of a triangle then the length of the third side may be_____.
  • $$11$$ cm
  • $$3$$ cm
  • $$5$$ cm
  • $$12$$ cm
In a right angled triangle $$ABC,\,\angle B=90^{\circ}$$ such that $$AB=6\;cm,\;BC=8\;cm$$. Then find $$AC$$.
  • $$13\ cm$$
  • $$14\ cm$$
  • $$10\ cm$$
  • $$12\ cm$$
In $$\triangle ABC,\angle B={ 90 }^{ \circ  }$$ find the sides of the triangle if $$AB=(x-3)~cm,BC=(x+4)~cm$$ and $$AC=(x+6)~cm$$. 
  • $$8 cm, 15 cm, 17 cm$$
  • $$17 cm, 24 cm, 26 cm$$
  • $$9 cm, 16 cm, 18 cm$$
  • $$12 cm, 19 cm, 21 cm$$
In the given figure, value of $$x$$ is .........
313985.png
  • 45$$^o$$
  • 34$$^o$$
  • 64$$^o$$
  • 109$$^o$$
$$ABCD$$ is a rectangle. If ABP and BCQ are equilateral triangle, $$\angle PBQ$$ = ....
315479.png
  • $$65^0$$
  • $$75^0$$
  • $$60^0$$
  • $$90^0$$
Which of the following statements is correct?
  • A triangle can have two right angles.
  • All the angles of a triangle are more than 60$$^o$$
  • An exterior angle of a triangle is always greater than each of the opposite interior angles.
  • All the angles of a triangle are less than 60$$^o$$
If two sides of an isosceles triangle are 4 cm and 10 cm then the length of the third side is__
  • 4 cm
  • 10 cm
  • 4 cm or 10 cm
  • None of these
The angles in a right-angled triangle other than the right angle are-
  • Right
  • Obtuse
  • Acute
  • None of these
The sides of a right triangle are $$(x-1)$$, $$x$$ and $$(x+1)$$. Find the sides of the triangle.
  • $$3, 4, 5$$
  • $$5, 5, 6$$
  • $$2, 3, 4$$
  • None of these
If two angles of a triangle are acute angles, then the third angle:
  • is less than the sum of the two angles
  • should be an acute angle
  • is the largest angle of the triangle
  • is an angle with any measurement less than $$180^o$$
Rohit used the Pythagorean theorem to see how much time he would save taking a shortcut to home from football practice. He usually walked $$6$$ blocks south and $$9$$ blocks east. Which picture shows his shortcut?
The number of lines of symmetry in a scalene triangle  is 
  • 0
  • 1
  • 2
  • 3
Which of the following is/are true?
443562.PNG
  • The $$\triangle$$ is right angled triangle.
  • The $$\triangle$$ is scalene triangle.
  • The $$\triangle$$ is Isosceles triangle.
  • The $$\triangle$$ is obtuse triangle.
Find the value of $$AC.$$
443517.PNG
  • $$40 \ m$$
  • $$42 \ m$$
  • $$41 \ m$$
  • $$46 \ m$$
Which of the following sets of side lengths form a triangle?
  • 4 m, 3 m, 11 m
  • 7 mm, 4 mm, 4 mm
  • 3 cm, 1.1 cm, 5 cm
  • 3 m, 4 m, 8 m
Measure of $$\displaystyle x^{0}$$ in the figure is
416723.bmp
  • $$\displaystyle 60^{0}$$
  • $$\displaystyle 70^{0}$$
  • $$\displaystyle 80^{0}$$
  • $$\displaystyle 55^{0}$$
Which one of the following is not an acute triangle?
Using the Pythagoras theorem  find the length of the missing side.
448331.PNG
  • 10 cm
  • 12 cm
  • 7 cm
  • 15 cm
The angles of a triangle are in the ratio of $$2:3:4.$$ What is the measure of the smallest interior angle of the triangle?
  • $$10^{o}$$
  • $$20^{o}$$
  • $$30^{o}$$
  • $$40^{o}$$
In $$\Delta PQR, \angle Q = 23^{o}$$ and $$\angle R = 20^{o}.$$ What is the measure of $$\angle P?$$
  • $$134^{o}$$
  • $$135^{o}$$
  • $$136^{o}$$
  • $$137^{o}$$
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