Advertisements
Advertisements
प्रश्न
Corresponding sides of two triangles are in the ratio 2 : 3. If the area of the smaller triangle is 48 cm2, determine the area of the larger triangle.
उत्तर
The ratio of the areas of two similar triangles is equal to the ratio of the square of any two corresponding sides.
`\text{(Area of triangle)}/\text{(Area of larger triangle)}=\text{(Corresponding side of smaller triangle)}^2/\text{(Corresponding side of larger triangle)}^2`
`\text{(Area of triangle)}/\text{(Area of larger triangle)}= 2^2/3^2`
`48/\text{(Area of larger triangle)}= 4/9`
Area of larger triangle =`(48xx9)/4`
Area of larger triangle = 108
Hence the area of the larger triangle is ` 108 cm^2`
APPEARS IN
संबंधित प्रश्न
In a ΔABC, AD is the bisector of ∠A.
If AB = 5.6cm, AC = 4cm and DC = 3cm, find BC.
In each of the figures [(i)-(iv)] given below, a line segment is drawn parallel to one side of the triangle and the lengths of certain line-segment are marked. Find the value of x in each of the following :
In ∆ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Is PQ || AB?
In each of the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.
In ∆ABC, ray AD bisects ∠A and intersects BC in D. If BC = a, AC = b and AC = c, prove that \[BD = \frac{ac}{b + c}\]
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.
In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. Find AC
In an equilateral triangle ABC if AD ⊥ BC, then AD2 =
If in two triangle ABC and DEF, ∠A = ∠E, ∠B = ∠F, then which of the following is not true?
(a)\[\frac{BC}{DF} = \frac{AC}{DE}\]
(b)\[\frac{AB}{DE} = \frac{BC}{DF}\]
(c)\[\frac{AB}{EF} = \frac{AC}{DE}\]
(d)\[\frac{BC}{DF} = \frac{AB}{EF}\]
A vertical stick 20 m long casts a shadow 10 m long on the ground. At the same time, a tower casts a shadow 50 m long on the ground. The height of the tower is
