Question 11 Mark
If ABC is an equilateral triangle of side 2a, then the length of one of its altitude is ____________ .
Answer
View full question & answer→$\sqrt{3} a$
Questions
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25 questions · timed · auto-graded
Question 21 Mark
In Fig. $\angle ABC=90^{\circ}$, AB : BD : DC = 3 : 1 : 3. If AC = 20cm, then AD = ____________ .
Answer
View full question & answer→$4 \sqrt{10}$
Question 31 Mark
In Fig. $\angle ABC=90^{\circ}$, AD = 15 cm and DC = 20 cm. If BD is the bisector of $\angle ABC$, then perimeter of $\triangle ABC$ is ____________ .
Answer
View full question & answer→84 cm
Question 41 Mark
In $\triangle ABC$ sides AB and AC are extended to D and E respectively, such that AB = BD and AC = CE. If BC = 6cm then DE = ____________ .
Answer
View full question & answer→12 cm
Question 51 Mark
If it is given that $\triangle A B C \sim \triangle E D F$ such that AB = 5 cm AC = 7 cm DF = 15 cm and DE = 12 cm Then, BC =____________ and EF = ____________ .
Answer
View full question & answer→6.25 cm, 16.8 cm
Question 61 Mark
A flag pole 18 m high casts a shadow 9.6 cm long. The distance of the top of the pole from the far end of the shadow is ____________ .
Answer
View full question & answer→20.4 cm
Question 71 Mark
In Fig. if $\angle A =\angle C$, AB = 6 cm and BP = 15 cm, AP = 12 cm and CP = 4 cm then PD = ____________ and CD = ____________ .
Answer
View full question & answer→5 cm, 2 cm
Question 81 Mark
A 15 metres high tower casts a shadow 24 metres long at a certain time and at the same time, a telephone pole casts a shadow 16 metres long. The height of the telephone pole is ____________ .
Answer
View full question & answer→10 m
Question 91 Mark
In Fig. if $\angle ACB = \angle CDA$, AC = 8 cm and AD = 3 cm, then BD = ____________ .
Answer
View full question & answer→$55 / 3 cm$
Question 101 Mark
In Fig. ABC is a triangle right angled at B and $BD \perp AC$. If AD = 4 cm and CD = 5 cm, then BD = ____________ and AB = ____________ .
Answer
View full question & answer→$2 \sqrt{5} cm, 6 cm$
Question 111 Mark
In Fig. PQR is a right triangle right angled at Q and $QS \perp PR$. If PQ = 6 cm and PS = 4 cm then perimeter of $\triangle QSR$ is ____________ .
Answer
View full question & answer→$5(\sqrt{5}+1) cm$
Question 121 Mark
ABCD is a trapezium in which $AB \| DC$ DC and P and Q are the points on AD and BC, respectively such that $PQ \| DC$. . If PD = 18cm BQ = 35cm and QC = 15cm then AD = ____________ .
Answer
View full question & answer→60 cm
Question 131 Mark
The altitude of an equilateral triangle of side 8 cm is ____________ .
Answer
View full question & answer→$4 \sqrt{3} cm$
Question 141 Mark
In $\triangle ABC \sim \triangle DEF$, AB = 4 cm DE = 6 cm EF = 9 cm and FD = 12 cm then the perimeter of $\triangle ABC$ is ____________ .
Answer
View full question & answer→18 cm
Question 151 Mark
In Fig. $\angle ABC = 90^{\circ}$ BC = 10 cm, CD = 6 cm, Then, AD = ____________ .
Answer
View full question & answer→$32 / 3 cm$
Question 161 Mark
In Fig. $\angle BAC = 90^{\circ}$ and $A D \perp B C$. Then, BD.CD = ____________ .
Answer
View full question & answer→$A D^2$
Question 171 Mark
The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then the length of the side of the rhombus is ____________ .
Answer
View full question & answer→10 cm
Question 181 Mark
In $\triangle ABC$, if $AB = 24 cm, BC = 10 cm$ and $AC = 26 cm$, then $\angle B$ = ____________ .
Answer
View full question & answer→$90^{\circ}$
Question 191 Mark
It is given that $\triangle A B C \sim \triangle D F E, \angle A=30^{\circ}, \angle C=50^{\circ}$, AB = 5 cm, AC = 8 cm AND DF = 7.5 cm. Then DE = ____________ and $\angle F$ = ____________ .
Answer
View full question & answer→$12 cm, 100^{\circ}$
Question 201 Mark
If in $\triangle ABC$ and $\triangle DEF, \frac{A B}{D E} = \frac{B C}{F D}$, then they will be similar, when ____________ .
Answer
View full question & answer→$\angle B=\angle D$
Question 211 Mark
In $\triangle ABC$ and $\triangle D E F$, if $\angle B=\angle E, \angle F = \angle C$ and $A B = 3 D E$ Then, AB = 3DE Then, the two triangles are ____________ but not ____________ .
Answer
View full question & answer→similar, congruent
Question 221 Mark
If $\triangle ABC \sim \triangle EDF$, then ____________ .
Answer
View full question & answer→$\frac{A B}{D E}=\frac{B C}{D F}=\frac{A C}{E F}$
Question 231 Mark
If in two triangles DEF and PQR, $\angle D=\angle Q$ and $\angle R=\angle E$, then $\frac{D E}{Q R}=\frac{D F}{P Q}$ = ____________ .
Answer
View full question & answer→$\frac{E F}{P R}$
Question 241 Mark
D and E are respectively the points and AC of $\triangle ABC$ such that AD = 2cm. BD = 3 cm, BC = 7.5 cm and $DE \| BC$. Then DE = ____________ .
Answer
View full question & answer→3 cm
Question 251 Mark
If in two triangles ABC and PQR, $\frac{A B}{Q R}=\frac{B C}{P R}=\frac{C A}{P Q}$, then $\triangle P Q R \sim$ ____________ .
Answer
View full question & answer→$\triangle CAB$