Advertisements
Advertisements
Question
In below Fig., state if PQ || EF.
Solution
We have,
DP = 3.9 cm, PE = 3cm, DQ = 3.6 cm and QF = 2.4 cm
Now,
`"DP"/"PE"=3.9/3=1.3/1=13/10`
And,
`"DQ"/"QF"=3.6/2.4=36/24=3/2`
`rArr"DP"/"PE"!="DQ"/"QF"`
So, PQ is not parallel to EF
APPEARS IN
RELATED QUESTIONS
M and N are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether MN || QR
PM = 4cm, QM = 4.5 cm, PN = 4 cm and NR = 4.5 cm
D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC. Find the value of x, when
AD = x cm, DB = (x – 2) cm, AE = (x + 2) cm and EC = (x – 1) cm.
In the given figure, ABCD is a trapezium in which AB║DC and its diagonals intersect at O. If AO = (5x – 7), OC = (2x + 1) , BO = (7x – 5) and OD = (7x + 1), find the value of x.
In the given figure, O is a point inside a ΔPQR such that ∠PQR such that ∠POR = 90°, OP = 6cm and OR = 8cm. If PQ = 24cm and QR = 26cm, prove that ΔPQR is right-angled.
Find the length of a diagonal of a rectangle whose adjacent sides are 30cm and 16cm.
In ΔABC, D is the midpoint of BC and AE⊥BC. If AC>AB, show that `AB^2= AD^2+1/4 BC^2 −BC.DE `
In the given figure, D is the midpoint of side BC and AE⊥BC. If BC = a, AC = b, AB = c, AD = p and AE = h, prove that
(i)`B^2=p^2+ax+a^2/x`
(ii)` c^2=p^2-ax+a^2/x`
(iii) `b^2+c^2=2p^2+a^2/2`
(iv)`b^2-c^2=2ax`
In the given figure ΔABC ~ ΔPQR, PM is median of ΔPQR. If ar ΔABC = 289 cm², BC = 17 cm, MR = 6.5 cm then the area of ΔPQM is ______.
![]() |
![]() |
In the given figure, Sand Tare points on sides PQ and PR, respectively of ΔPQR such that ST is parallel to QR and SQ = TR. Prove that ΔPQR is an isosceles triangles.
Prove that If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. In the figure, find EC if `(AD)/(DB) = (AE)/(EC)` using the above theorem.