Advertisements
Advertisements
प्रश्न
In Δ ABC , MN || BC .
If BC = 14 cm and MN = 6 cm , find `("Ar" triangle "AMN")/("Ar" . ("trapezium MBCN"))`
उत्तर
Δ AMN - Δ ABC {proved above in (a)}
`("Ar" triangle "AMN")/("Ar" triangle "ABC") = ("MN"/"BC")^2 = (6/14)^2 = 9/49`
`("Ar" triangle "AMN")/(("Ar" triangle "AMN") + "Ar" . ("trapezium MBCN")) = 9 / 49`
49 Ar. Δ AMN = 9 Ar. Δ AMN + 9 Ar .(trapezium MBCN)
40 Ar. Δ AMN = 9 Ar.( trapezium MBCN)
`("Ar" triangle "AMN")/("Ar" . ("trapezium MBCN")) = 9/40`
APPEARS IN
संबंधित प्रश्न
State the SSS-similarity criterion for similarity of triangles
In Δ ABC , DE is parallel to BC and `"AD"/"DB" = 2/7` IF AC = 5 .6 , find AE.
In the figure , ABCD is a quadrilateral . F is a point on AD such that AF = 2.1 cm and FD = 4.9 cm . E and G are points on AC and AB respectively such that EF || CD and GE || BC . Find `("Ar" triangle "BCD")/("Ar" triangle "GEF")`
A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Calculate: the length of M' N', if MN = 8 cm.
Sides of a triangle are 7, 24 and 25. Determine whether the triangle is a right-angled triangle or not.
Points A(3, 1), B(5, 1), C(a, b) and D(4, 3) are vertices of a parallelogram ABCD. Find the values of a and b.
A plot of land of area 20km2 is represented on the map with a scale factor of 1:200000. Find: The area on the map that represented the plot of land.
A map is drawn to scale of 1:20000. Find: The distance covered by 6cm on the map
In fig. BP ⊥ AC, CQ ⊥ AB, A−P−C, and A−Q−B then show that ΔAPB and ΔAQC are similar.
In ΔAPB and ΔAQC
∠APB = [ ]° ......(i)
∠AQC = [ ]° ......(ii)
∠APB ≅ ∠AQC .....[From (i) and (ii)]
∠PAB ≅ ∠QAC .....[______]
ΔAPB ~ ΔAQC .....[______]
In the adjoining diagram the length of PR is ______.
