Advertisements
Advertisements
प्रश्न
In the given figure, ∆AMB ∼ ∆CMD; determine MD in terms of x, y and z.
उत्तर
We are given ∆AMB ∼ ∆CMD
We have to determine the value of MD in terms of x, y and z.
Given `Δ AMB ∼ Δ CMD `
\[\Rightarrow \frac{BM}{MD} = \frac{AM}{CM}\]
\[\frac{x}{MD} = \frac{y}{z}\]
By cross multiplication we get `MD = (xz)/y`
Hence, the value of MD is `(xz)/y`.
APPEARS IN
संबंधित प्रश्न
D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC
If AD = 3.6cm, AB = 10cm and AE = 4.5cm, find EC and AC.
In the given figure, DE || BD. Determine AC and AE.
Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8 m above the surface of the water and the fly at the end of the string rests on the water 3.6 m away and 2.4 m from a point directly under the tip of the road. Assuming that her string (from the tip of her road to the fly) is taut, how much string does she have out (in the given figure)? If she pulls the string at the rate of 5 cm per second, what will the horizontal distance of the fly from her after 12 seconds.
If ∆ABC and ∆DEF are similar triangles such that AB = 3 cm, BC = 2 cm, CA = 2.5 cm and EF = 4 cm, write the perimeter of ∆DEF.
In the given figure, DE || BC in ∆ABC such that BC = 8 cm, AB = 6 cm and DA = 1.5 cm. Find DE.
XY is drawn parallel to the base BC of a ∆ABC cutting AB at X and AC at Y. If AB = 4 BX and YC = 2 cm, then AY =
If D, E, F are the mid-points of sides BC, CA and AB respectively of ∆ABC, then the ratio of the areas of triangles DEF and ABC is
If in two triangles ABC and DEF, \[\frac{AB}{DE} = \frac{BC}{FE} = \frac{CA}{FD}\], then
In an equilateral triangle ABC if AD ⊥ BC, then
If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is