6. Triangles - CBSE Class 10

6. Triangles - CBSE Class 10

by

Salman Nizarudin

Fill in the Blanks

If ∆ABC ~ ∆PQR, perimeter of ∆ABC = 32 cm, perimeter of ∆PQR = 48 cm and PR = 6 cm, then find the length of AC. (2012)

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The lengths of the diagonals of a rhombus are 24 cm and 32 cm. Calculate the length of the altitude of the rhombus. (2013)

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A 6.5 m long ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall. Find the height of the wall where the top of the ladder touches it. (2015)

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In the given figure, CD || LA and DE || AC. Find the length of CL if BE = 4 cm and EC = 2 cm. (2012)

Multiple Choice

The diagonals of trapezium ABCD intersect each other at point O. If AB = 2CD, find the ratio of area of the ∆AOB to area of ∆COD. (2013)

• 1:4

• 4:1

• 2:3

• 3:2

Fill in the Blanks

In the given figure, ∠A = 90°, AD ⊥ BC. If BD = 2 cm and CD = 8 cm, find AD. (2012; 2017D)

bonus

If a line segment intersects sides AB and AC of a ∆ABC at D and E respectively and is parallel to BC, prove that $\frac{AD}{AB}=\frac{AE}{AC}$ . (2013)