which class ru

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which class ru

hi

bye

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or Hypoteneous 2= perpendicular 2+ base 2

Note: 2 means square

The Brainliest Answer!

GIVEN:in ΔABC,

angleABC=90degree

TO PROVE: AC²=AB²+BC²

CONS:draw a perpendicular BD from the vertex B,to the side AC. A-D-C.

PROOF:in right angled ΔABC,

seg BD is perpendicular hyp AC

.:by similarity in right angled Δ,

ΔABC IS SIMILAR TO ΔADB IS SIMILAR TO ΔBDC

NOW, ΔABC SIMILAR ΔADB

.:AB/AD=AC/AB (csct)

.:AB²=AC *AD (1)

ALSO,ΔABC SIMILAR ΔBDC

.:BC/DC=AC/BC (csct)

.:BC²=DC*AC (2)

from 1 and 2,

AB²+BC²=AC*AD+AC*DC

=AC*(AD+DC)

=AC*AC (A-D-C)

.:AB²+BC²=AC² i.e AC²=AB²+BC²