perimeter of a triangle=60cm.Its hypotenuse is 25cm .find other two sides?
Answers
Answered by
3
proceed it and u will get answer. ✌✌
Attachments:
chintubsk247:
thank u friend but how can we say that AB=(15-BC).......height can also be smaller than base
sorry i think perimeter is 40. its my fault.
that is why i'm thinking that equation is wrong
its k but i had understood ur process
its so nice of you :)
Answered by
1
let abc be the right triangle where ac is the hypotenuse
according to pythagoras theorem,
ab^2+bc^2=ac^2=25^2=625.................1
since the perimeter of the triangle is 60 cm
ab+bc+ac=60
ab+bc=60-25=35
ab=35-bc...........2
sub 1 in 2
(35-bc)^2+bc^2=625
1225+bc^2+bc^2-70bc=625
2bc^2-70bc-600=0
bc^2-35bc-300=0
therefore,
bc=7cm andwhen we sub in 1 we get ab as 24cm
according to pythagoras theorem,
ab^2+bc^2=ac^2=25^2=625.................1
since the perimeter of the triangle is 60 cm
ab+bc+ac=60
ab+bc=60-25=35
ab=35-bc...........2
sub 1 in 2
(35-bc)^2+bc^2=625
1225+bc^2+bc^2-70bc=625
2bc^2-70bc-600=0
bc^2-35bc-300=0
therefore,
bc=7cm andwhen we sub in 1 we get ab as 24cm
please mark my answer as brainliest.
thank u bro bit how can we say that ab=35-bc........height can also be smaller than base
u r welcome .since ab+bc=35, automatically ab=35-bc(bring bc to opp. side......another way u can do is by bringing ab to the opp. side i.e.,bc=35-ab
but we can't underestimate ab or else bc is less than 35
but according to the condition it is true and we are supposed to.
thanks for making me to confirm that u r answer is correct
i was just having doubt
u r always welcome. it's my pleasure bro
Similar questions