CBSE Board Practice

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CBSE Grade X - Triangles

Question 1

1.	JKLM is a square and △JKN is an equilateral triangle. Also, △JLO is an equilateral triangle. If area of △JKN is 'a' sq.units, then the area of △JLO is
	2a sq.units a 2 sq.units √ 3 a sq.units 1 2 √ 3 a sq.units 1 2 a sq.units

Question 2

2.	In the given figure, QR ∥ CD , and median BE bisects QR. If  BC = 16 cm, BE = 16.1 cm and BQ = 7.27 cm,  FE =
	6.78 cm 10.78 cm 9.78 cm 8.78 cm 7.78 cm

Question 3

3.	Identify the property by which the two given triangles are similar
	not similar AAA Similarity SSS Similarity SAS Similarity

Question 4

4.	In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 22 cm. Find AP
	6.80 cm 8.80 cm 10.80 cm 9.80 cm 7.80 cm

Question 5

5.	In the given figure, if CD ∥ EF then
	△GDC ∼ △GFE △CDG ∼ △GFE △CDG ∼ △FEG △GCD ∼ △GEF △CDG ∼ △GEF

Question 6

6.	In the given figure, the altitudes OB and CP of △ABC meet at N. △NBC ∼
	△OCB △PBN △OCN △PBC △NPO

Question 7

7.	In the given figure, in △FGH, 'O' is a point inside the triangle. OI ⟂ GH, OJ ⟂ FH and OK ⟂ FG. Then
	FK 2 + GI 2 + HJ 2 = FG 2 + IH 2 + HF 2 − GK 2 − HI 2 − JF 2 FK 2 + GI 2 + HJ 2 = OK 2 + OJ 2 + OI 2 FK 2 + GI 2 + HJ 2 = OF 2 + OG 2 + OH 2 + OI 2 + OJ 2 + OK 2 FK 2 + GI 2 + HJ 2 = OF 2 + OG 2 + OH 2 − OI 2 − OJ 2 − OK 2

Question 8

8.	From the given figure and values, find x
	( 38 , -16 ) ( 38 , -17 ) ( 39 , -15 ) ( 41 , -16 ) ( -14 , 40 )

Question 9

9.	In the given figure, △BCD ∼ △QRS and BC = 10 cm, QR = 14 cm. If the area of the △QRS = 94.08 sq.cm , find the area of the △BCD
	47.00 sq.cm 50.00 sq.cm 49.00 sq.cm 46.00 sq.cm 48.00 sq.cm

Question 10

10.	In the given figure, △DEF, PQ ∥ EF such that area of   △DPQ = area of   PQFE . Find   DP DE
	1 2 4 √ 2 1 2 √ -1 1 2 √ 4 1 1 2 √ 2

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