Question

Please answer this 2 question with step by step explanantion

Answer 1

Answer:

The mean proportional of 4 and 25 is 10.

Answer 2

Step-by-step explanation:

here in the question 2

given that pr=qs

,pr+rs=qs+rs [adding rs to both side]

,ps=qr---------1

given that ap=bq

in the triangle ∆aps

we can write from the pithagoras theory

as^2=ap^2+ps^2

= bq^2+qr^2------2

again in the triangle ∆bqr

br^2=bq^2+qr^2------3

from (2) and (3) we can write

as^2=br^2

, as=br

in the triangles ∆aps and ∆bqr

ps=qr

ap=bq

as=br

so, ∆aps=∆bqr.