CBSE Questions for Class 7 Maths The Triangle And Its Properties Quiz 5 - MCQExams.com

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
  • Obtuse angled triangle
  • Acute angled triangle
  • Right angled triangle
  • Equilateral triangle
In the figure, if $$\angle A + \angle B + \angle C + \angle D + \angle E + \angle F = k\times $$ right angle, then $$k$$ is :
84171_2dc17cfe585a451fb0720a5ab1cf0521.png
  • $$2$$
  • $$3$$
  • $$4$$
  • $$5$$
An exterior angle of a triangle is $$105^0$$ and its two interior opposite angles are equal. Each of these equal angles is
  • $$37\dfrac{1^{0}}{2}$$
  • $$52\dfrac{1^{0}}{2}$$
  • $$72\dfrac{1^{0}}{2}$$
  • $$75^0$$
If one of the angles of a triangle is $$130^0$$, then the angle between the bisectors of the other two angles can be
  • $$50^0$$
  • $$65^0$$
  • $$145^0$$
  • $$155^0$$
In $$\Delta ABC$$, if $$AB=AC$$ and $$\angle B=50^{0}$$, then $$\angle A$$ is equal to:
  • $$40^{0}$$
  • $$50^{0}$$
  • $$80^{0}$$
  • $$130^{0}$$
In $$\Delta ABC, BC=AB$$ and $$\angle B=80^{o}.$$ Then $$\angle A$$ is equal to
  • $$80^{o}$$
  • $$40^{o}$$
  • $$50^{o}$$
  • $$100^{o}$$
In $$\Delta PQR, \angle R=\angle P$$ and $$QR$$ $$=4$$ cm and $$PR$$ $$= 5$$ cm. then what is the length of $$PQ$$ ?
  • $$4$$ cm
  • $$5$$ cm
  • $$2$$ cm
  • $$2.5$$ cm
Two sides of a triangle are of lengths $$4$$ cm and $$1.5$$ cm. The length of the third side of the triangle cannot be
  • $$3.6$$ cm
  • $$4.1$$ cm
  • $$3.8$$ cm
  • $$5.8$$ cm
The construction of a triangle $$ABC$$, given that $$BC =$$ $$6$$ cm, $$B =$$ $$45 ^{\circ}$$ is not possible when difference of $$AB$$ and $$AC$$ is equal to:
  • $$6.9$$ cm
  • $$5.2$$ cm
  • $$5.0$$ cm
  • $$4.0$$ cm
If lengths of sides of a triangle are 6, 10, 8, then ABC is .........triangle.
  • isosceles
  • equilateral
  • right angled
  • none of these
Which of the following is NOT the length of a

median in triangle ABC with vertices A(1,3), B(1,1) and C(5,1)?
  • $$2\sqrt{6}$$
  • $$\sqrt{26}$$
  • $$2\sqrt{5}$$
  • $$\sqrt{2}$$
In given figure, value of $$(\angle x+ \angle y)$$ is

84965.jpg
  • $$80^{\circ}$$
  • $$30^{\circ}$$
  • $$100^{\circ}$$
  • $$60^{\circ}$$
The sides of a triangle are in  the ratio 4 : 6 :Then
  • The triangle is obtuse -angled
  • The triangle is acute-angled
  • The triangle is right-angled
  • The triangle `Is impossible
In $$\Delta$$ ABC, $$\angle B = 90 ^\circ$$, AB = 6 cm and BC = 8 cm. The length of AC is
  • 3 cm
  • 10 cm
  • 4 cm
  • 7 cm
If length of the largest side of a triangle is 12 cm then other two sides of triangle can be 
  • 4.8 cm, 8.2 cm
  • 3.2 cm, 7.8 cm
  • 6.4 cm, 2.8 cm
  • 7.6 cm, 3.4 cm
  • If both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • If both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion.
  • If Assertion is correct, but Reason is incorrect.
  • If Assertion is incorrect, but Reason is correct.
If m$$\angle$$ $$XYZ = 86^o$$ and m$$\angle$$ $$XZY = 23^o$$. What is m$$\angle$$ $$YXZ$$ in the triangle?
  • $$70^o$$
  • $$71^o$$
  • $$72^o$$
  • $$73^o$$
The angles of a triangle are in the ratio 2: 1:Is the triangle right-angled triangle?
  • True
  • False
In the given figure, the value of $$(\angle x+\angle y)$$ is :
84451.png
  • $$110^0$$
  • $$100^0$$
  • $$120^0$$
  • $$60^0$$
In the given figure, $$AB \;|\;|\; DC$$, $$BO=6\; cm$$ and $$DQ= 8\; cm$$ then find the value of  $$\displaystyle BP \times DO.$$


179328_da38d5e1fe4b4c88a6c37f4b44cdf813.jpg
  • $$\displaystyle 48 cm^{2}$$
  • $$\displaystyle 24 cm^{2}$$
  • $$\displaystyle 56 cm^{2}$$
  • None of the above
From the adjoining figure, calculate the values of $$a$$.
177296.jpg
  • $$46^o$$
  • $$38^o$$
  • $$56^o$$
  • none of the above
State true or false:
If  $$ED= EC$$, then $$AB\, +\, AD> BC$$.(Refer given fig.)

179002.jpg
  • True
  • False
In the above figure, point $$D$$ divides $$AB$$ in the ratio $$3: 5$$. If $$BC= 4.8 \;cm$$, find the length of $$DE$$.

179340_8563ff88984745ee93061e9185bb5f30.png
  • $$1.8 cm$$
  • $$2.6 cm$$
  • $$1.2 cm$$
  • $$4 cm$$

In the following figure, point $$D$$ divides $$AB$$ in the ratio $$3: 5$$. Find $$\displaystyle \dfrac{AE}{EC}$$.

179335_f07484c68efc45f797434a0916e39171.png
  • $$\dfrac{3}{5}$$
  • $$\dfrac{3}{7}$$
  • $$\dfrac{2}{5}$$
  • $$\dfrac{7}{5}$$
In the given figure, $$ABC$$ is a triangle, side $$CB$$ is produced to $$E$$ and $$\angle A$$: $$\angle B$$: $$\angle C$$ $$= 2: 1: 3$$. Find $$\angle DBE$$, if $$DB$$ is perpendicular to $$AB$$.
177294.jpg
  • $$66^o$$
  • $$46^o$$
  • $$60^o$$
  • none of the above
In the given figure, $$DE\;|\;|\;BC$$, $$AE= 15\;cm$$, $$EC= 9\;cm$$, $$NC= 6\; cm$$ and $$BN=24\; cm$$. Find the length of $$ME$$ is

179311_3af8f180f4124ac2bfd1ba9bb718fa72.png
  • $$3.75\,cm$$ 
  • $$2.5\,cm$$ 
  • $$4\,cm$$ 
  • $$5.5\,cm$$ 
Which of the following best describes the given triangle.
265867_c35f3fd1d21e4c788fb384bed9531fff.png
  • Equilateral obtuse triangle
  • Isosceles right triangle
  • Isosceles obtuse triangle
  • Isosceles acute triangle.
An exterior angle of a triangle is less than either of its interior opposite angles.
  • True
  • False
  • Ambiguous
  • Data Insufficient
In $$\Delta ABC$$, if $$\angle A = 50^0$$ and $$\angle B = 60^0$$, then the shortest and largest sides of the triangle, respectively are:
  • $$AC$$ and $$AB$$
  • $$BC$$ and $$AB$$
  • $$AC$$ and $$BC$$
  • $$BC$$ and $$AC$$
In a right angled triangle $$ABC,\,\angle B=90^{\circ}$$ such that $$AC=13\;cm,\;BC=5\;cm$$. Then, find $$AB$$.
  • $$12 cm$$
  • $$17 cm$$
  • $$15 cm$$
  • $$14 cm$$
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