Mathematics
In the figure (3) given below, ∠ PQR = ∠ PRS. Prove that triangles PQR and PRS are similar. If PR = 8 cm, PS = 4 cm, calculate PQ.
Related Questions
In the figure (1) given below, AP = 2PB and CP = 2PD.
(i) Prove that △ACP is similar to △BDP and AC ∥ BD.
(ii) If AC = 4.5 cm, calculate the length of BD.
In the figure (2) given below, ∠ ADE = ∠ ACB.
(i) Prove that △s ABC and AED are similar.
(ii) If AE = 3 cm, BD = 1 cm and AB = 6 cm, calculate AC.
In the adjoining figure, ABC is a triangle in which AB = AC. P is a point on the side BC such that PM ⊥ AB and PN ⊥ AC. Prove that BM × NP = CN × MP.
Prove that the ratio of the perimeters of two similar triangles is the same as the ratio of their corresponding sides.