Question

Please help me solve number 14 and 15

Answer 1

Explanation:

Similarity property,

" If the two triangles are similar then their corresponding sides will be proportional."

14). If ΔPQR ~ ΔUVW,

`(PQ)/(UV)=(QR)/(VW)=(PR)/(UW)` [Statement}

`(15)/(10)=(9)/(6)=(6)/(4)`

`(3)/(2)=(3)/(2)=(3)/(2)` [True}

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

`(EH)/(HG)=(HF)/(DH)` [Statement]

`(24)/(6)=(36)/(9)`

4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]