Advertisements
Advertisements
प्रश्न
If in triangles ABC and DEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when ______.
पर्याय
∠B = ∠E
∠A = ∠D
∠B = ∠D
∠A = ∠F
उत्तर
If in triangles ABC and DEF, `(AB)/(DE) = (BC)/(FD)`, then they will be similar, when ∠B = ∠D.
Explanation:
Given, in ∆ABC and ∆EDF,
`("AB")/("DE") = ("BC")/("FD")`
So, ∆ABC ~ ∆EDF if ∠B = ∠D ...[By SAS similarity criterion]
संबंधित प्रश्न
In the following figure, altitudes AD and CE of ΔABC intersect each other at the point P. Show that:
ΔPDC ∼ ΔBEC
In the following figure, ABC and AMP are two right triangles, right-angled at B and M respectively, prove that:
- ΔABC ~ ΔAMP
- `("CA")/("PA") = ("BC")/("MP")`
In the following figure, XY || BC. Find the length of XY.
In the following Figure, ∠ABC = 90° and BD ⊥ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.
In the following figure, PA, QB and RC are each perpendicular to AC. Prove that `1/x+1/z=1/y`
A ladder 10m long reaches the window of a house 8m above the ground. Find the distance of the foot of the ladder from the base of the wall.
It is given that ΔDEF ~ ΔRPQ. Is it true to say that ∠D = ∠R and ∠F = ∠P? Why?
In figure, BD and CE intersect each other at the point P. Is ΔPBC ~ ΔPDE? Why?
In figure, l || m and line segments AB, CD and EF are concurrent at point P. Prove that `(AE)/(BF) = (AC)/(BD) = (CE)/(FD)`.
In the given figure, S is a point on side QR of ΔPQR such that ∠QPR = ∠PSR. Use this information to prove that PR2 = QR × SR.