in the given figure, angle T and B are right angles IF the lengths of AT,BC and AS are 15,16 - Maths - Triangles

Question

in the given figure, angle T and B are right angles IF the lengths
of AT,BC and AS are 15,16 and 17 cm,find the length of TC in
cms?

Rishabh Mittal · Accepted Answer

In ∆ATS, by Pythagoras Theorem,TS=AS2-AT2=172-152=289-225 =64=8 cmIn △ABC and △ATS∠BAC=∠TAS    Common∠ABC=∠ATS     90° eachBy AA similarity criterion△ABC~△ATS⇒BCTS=ACAS corresponding sides of similar ∆'s are proportional⇒168=AT+TC17⇒168=15+TC17⇒2 = 15+TC17⇒15+TC = 34⇒TC = 34 - 15 = 19 cm

in the given figure, angle T and B are right angles.IF the lengths of AT,BC and AS are 15,16 and 17 cm,find the length of TC in cms?