TRIANGLES CLASS X
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1
If AD and PM are medians of triangles ABC & PQR respectively where ΔABC~ΔPQR prove that 𝑨𝑩/𝑷𝑸=𝑨𝑫/𝑷𝑴
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2
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower...
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3
Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR ...
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4
D is a point on the side BC of a Δ ABC such that angle ADC = angle BAC. Show that CA2 = CB.CD
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5
Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR...
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6
In Fig. 6.40, E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD ...
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7
CD and GH are respectively the bisectors of ΔACB and Δ EGF such that D and H lie on sides AB & FE...
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8
In Fig.6.38, altitudes AD and CE of ΔABC intersect each other at point P. Show that ΔAEP ~ ΔCDP...
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9
E is a point on the side AD produced of a llgm ABCD and BE intersects CD at F. Show that 𝚫ABE ~ 𝚫CFB
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10
In Fig. 6.37, if 𝚫 ABE ≅ ACD, show that 𝚫 ADE ~ 𝚫 ABC.
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11
In Fig 6.36, QR/QS = QT/PR and ∟1 = ∟2 .Show that ΔPQS ~ ΔTQR. #similarityoftriangles
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12
In Fig.6.33, CM and RN are respectively the medians of Δ ABC and Δ PQR. If Δ ABC ~ ΔPQR, prove that:
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13
A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the...
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14
The diagonals of a quadrilateral ABCD intersect each other at the point O such that AO/BO = CO/DO...
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15
ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show...
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16
Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parall...
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17
A, B and C are points on OP, OQ & OR respectively such that AB || PQ & AC || PR. Show that BC || QR.
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18
If DE || OQ and DF || OR. Show that EF || QR. II EXERCISE 6.2 II CHAPTER 6 II CLASS X II TRIANGLES
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19
If DE || AC and DF || AE, Prove that, prove that BF/FE=BE/EC. II NCERT TEXTBOOK EXCERCISE 6.2 II
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20
If LM || CB and LN || CD, prove that AM/AB=AN/AD I CHAPTER 6 I EXERCISE 6.2 I NCERT TEXTBOOK I CBSE
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21
PS/SQ =PT/TR and ∟PST = ∟PRQ. Prove that PQR is an isosceles triangle.
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22
ABCD is a trapezium with AB || DC. E and F are points on non-parallel sides AD and BC respectively..
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23
If a line intersects sides AB and AC of a 𝚫 ABC at D and E and is parallel to BC, prove 𝐀𝐃/𝐀𝐁=𝐀𝐄/𝐀𝐂
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24
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the...
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25
Prove Basic Proportionality Theorem - If a line is drawn parallel to one side of a triangle to ...
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