Advertisements
Advertisements
प्रश्न
If figure OPRQ is a square and ∠MLN = 90°. Prove that QR2 = MQ × RN
उत्तर
We have ∆QMO ~ ∆RPN
`"MQ"/"PR" = "QO"/"RN"`
`"MQ"/"QR" = "QR"/"RN"`
QR2 = MQ × RN
Hence it is proved.
APPEARS IN
संबंधित प्रश्न
In figure, find ∠L
In the following figure, if LM || CB and LN || CD, prove that `("AM")/("AB")=("AN")/("AD")`
In the given figure, ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. If AP = 1cm, PB = 3cm, AQ = 1.5cm, QC = 4.5cm, prove that area of ΔAPQ is 116 of the area of ΔABC.
In ∆ABC, AP ⊥ BC, BQ ⊥ AC B– P–C, A–Q – C then prove that, ∆CPA ~ ∆CQB. If AP = 7, BQ = 8, BC = 12 then Find AC.
In ΔABC, point D divides AB in the ratio 5:7, Find: BC, If DE = 2.5cm
AM and DN are the altitudes of two similar triangles ABC and DEF. Prove that: AM : DN = AB : DE.
ΔABC has been reduced by a scale factor 0.6 to ΔA'B'C'/ Calculate:Length of B' C', if BC = 8cm
A plot of land of area 20km2 is represented on the map with a scale factor of 1:200000. Find: The ground area in km2 that is represented by 2cm2 on the map.
A model of cargo tuck is made to a scale of 1:40. The length of the model is 15cm. Calculate: The volume of the model if the volume of the truck is 6m3
In the figure, if ∠FEG ≡ ∠1 then, prove that DG2 = DE.DF