Class 10 Quiz Level 3 (Difficult) – Triangles

Total questions: 10

In a rhombus of side 10 cm, one of the diagonals is 12 cm long. What is the length of the second diagonal?

Topic: Rhombus Properties

Deselect Answer

15 cm

12 cm

10 cm

16 cm

None

In the given figure, PS is the bisector of ∠ QPR of △PQR. Then, $ \displaystyle \dfrac{{\text{QS}}}{{\text{SR}}}$ will be equal to:

Topic: Angle Bisector Theorem

Deselect Answer

$ \displaystyle \dfrac{{\text{PQ}}}{{\text{PR}}}$

$ \displaystyle \dfrac{{\text{PR}}}{{\text{PQ}}}$

$ \displaystyle \dfrac{{\text{PQ}}}{{\text{QR}}}$

$ \displaystyle \dfrac{{\text{PS}}}{{\text{PR}}}$

None

In △ABC and △DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are:

Topic: Criteria for Similarity Triangles

Deselect Answer

Congruent but not similar

Similar but not congruent

Neither congruent nor similar

Congruent as well as similar

None

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle. Can you say that two triangles will be similar?

Topic: Criteria for Similarity Triangles

Deselect Answer

Yes

Cannot be determined

Incomplete information

None

D is a point on the side BC of a triangle ABC such that ∠ADC = ∠BAC. Then, $\displaystyle {\text{C}{{\text{A}}^{2}}}$ will be equal to:

Topic: Angle Bisector Theorem

Deselect Answer

CB.CD

CB.AD

AC.AD

AC.AB

None

A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3 m, then how far she is away from the base of the pole?

Topic: Similar Triangles

Deselect Answer

5 m

7 m

9 m

11 m

None

Foot of a 10 m long ladder leaning against a vertical wall is 6 m away from the base of the wall. What is the height of the point on the wall where the top of the ladder reaches?

Topic: Pythagoras Theorem

Deselect Answer

12 m

8 m

10 m

6 m

None

ABCD is a trapezium in which AB∥DC and P, Q are points on AD and BC respectively, such that PQ∥DC, if PD = 18 cm, BQ = 35 cm and QC = 15 cm, find AD.

Topic: Basic Proportionality Theorem

Deselect Answer

20 cm

40 cm

60 cm

90 cm

None

D is a point on side QR of △PQR such that PD ⊥ QR. Will it be correct to say that △PQD ∼ △RPD ?

Topic: Criteria for Similarity Triangles

Deselect Answer

Yes

Cannot be predicted

Incomplete information

None

10.

Legs (sides other than the hypotenuse) of a right triangle are of lengths 16 cm and 8 cm. What is the length of the side of the largest square that can be inscribed in the triangle?

Topic: Right-Angled Triangles

Deselect Answer

$ \displaystyle \dfrac{{\text{14}}}{2}$ cm

$ \displaystyle \dfrac{{\text{16}}}{3}$ cm

$ \displaystyle \dfrac{{\text{10}}}{5}$ cm

$ \displaystyle \dfrac{{\text{18}}}{4}$ cm

None

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Class 10 Quiz Level 3 (Difficult) – Triangles

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