Advertisements
Advertisements
प्रश्न
The perimeter of two similar triangles are 30 cm and 24 cm. If one side of the first triangle is 12 cm, determine the corresponding side of the second triangle.
उत्तर
Let ΔABC ~ ΔDEF
Then, `(AB)/(DE) = (BC)/(EF) = (AC)/(DF) = (AB + BC + AC)/(DE + EF + DF)`
= `"Perimeter of ΔABC"/"Perimeter of ΔDEF "`
`=> "Perimeter of ΔABC"/"Perimeter of ΔDEF " = (AB)/(DE)`
`=> (30)/(24) = (12)/(DE)`
`=>` DE = 9.6 cm
APPEARS IN
संबंधित प्रश्न
In figure, ABCD is a trapezium with AB || DC. If ∆AED is similar to ∆BEC, prove that AD = BC.
The corresponding sides of two similar triangles ABC and DEF are BC = 9.1cm and EF = 6.5cm. If the perimeter of ΔDEF is 25cm, find the perimeter of ΔABC.
Figure shows Δ PQR in which ST || QR and SR and QT intersect each other at M. If `"PT"/"TR" = 5/3` find `("Ar" (triangle "MTS"))/("Ar" (triangle "MQR"))`
In ΔABC, D and E are the points on sides AB and AC respectively. Find whether DE || BC, if AB = 6.3 cm, EC = 11.0 cm, AD = 0.8 cm and AE = 1.6 cm.
In the figure, given below, AB, CD and EF are parallel lines. Given AB = 7.5 cm, DC = y cm, EF = 4.5 cm, BC = x cm and CE = 3 cm, calculate the values of x and y.
Given that ΔABC ∼ ΔPRQ, name the corresponding angles and the corresponding sides.
A model of cargo tuck is made to a scale of 1:40. The length of the model is 15cm. Calculate: The base area of the truck, if the base area of the model is 30m2
If in triangles PQR and XYZ, `"PQ"/"XY" = "QR"/"ZX"` then they will be similar if
A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is
In the given figure ΔABC ~ ΔPQR. The value of x is
 |
 |
