Question

SOMEONE HELP ME PLS PLS PLS

Answer 1

8/12 = BC/45

2/3 = BC/45

BC = (45/3)(2) = 15(2) = 30 cm

8/26 = 12/PR

4/13 = 12/PR

PR = (12/4)(13) = 3(13) = 39 cm

Answer 2

BC = 30 cm , PR = 39 cm

Explanation:

given the triangles are similar , then the ratios of corresponding sides are in proportion , that is

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

`(BC)/(45)` =
`(8)/(12)` ( cross- multiply )

12 BC = 45 × 8 = 360 ( divide both sides by 12 )

BC = 30 cm

Similarly

`(PR)/(AC)` =
`(PQ)/(AB)` ( substitute values )

`(PR)/(26)` =
`(12)/(8)` ( cross- multiply )

8 PR = 26 × 12 = 312 ( divide both sides by 8 )

PR = 39 cm