Question

Please solve this angels question for 25 marks . only part c. ​

Answer 1

x = 7.2 , y = 10.8

Explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

`(AB)/(PQ)` =
`(BC)/(QR)` substitute values

`(10)/(6)` =
`(12)/(x)` ( cross- multiply )

10x = 72 ( divide both sides by 10 )

x = 7.2

Similarly

`(AB)/(PQ)` =
`(AC)/(PR)` , that is

`(10)/(6)` =
`(18)/(y)` ( cross- multiply )

10y = 108 ( divide both sides by 10 )

y = 10.8

Answer 2

`for \: similar \: triangles \: their \: side \\ ratio \: must \: be \: equal \\ (ab)/(pq) = (bc)/(qr) = (ac)/(pr) \\ (10)/(6) = (12)/(x) = (18)/(y) \\ (5)/(3) = (12)/(x) \\ x = (12 * 5)/(3) = 4 * 5 = 20 cm\\ \\ (5)/(3) = (18)/(y) \\ y = (18 * 5)/(3) = 6 * 5 = 30cm \\ thank \: you`