Advertisements
Advertisements
प्रश्न
In each of the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.
उत्तर
In two triangle, we observe that
In ΔABC and ΔCDE
Yes two triangles are similar
APPEARS IN
संबंधित प्रश्न
In Figure below, if AB ⊥ BC, DC ⊥ BC and DE ⊥ AC, Prove that Δ CED ~ ABC.
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 a ΔABC, AD is the bisector of ∠A.
If AB = 5.6cm, AC = 4cm and DC = 3cm, find BC.
In the given figure, given that ∆ABC ∼ ∆PQR and quad ABCD ∼ quad PQRS. Determine the value of x, y, z in each case.
The area of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the smaller triangle in 3 cm, find the length of the corresponding side of the larger triangle.
Corresponding sides of two similar triangles are in the ratio 1 : 3. If the area of the smaller triangle in 40 cm2, find the area of the larger triangle.
A point D is on the side BC of an equilateral triangle ABC such that\[DC = \frac{1}{4}BC\]. Prove that AD2 = 13 CD2.
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 two triangles such that\[\frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD} = \frac{3}{4}\], then write Area (∆ABC) : Area (∆DEF)
In the given figure, S and T are points on the sides PQ and PR respectively of ∆PQR such that PT = 2 cm, TR = 4 cm and ST is parallel to QR. Find the ratio of the areas of ∆PST and ∆PQR.