Then what are the length of larger triangle
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Answer:
length of sides of larger triangle will be 24 , 30 and 36
Step-by-step explanation:
given,
sides of smaller triangle = 4,5,6
then, perimeter of smaller triangle =4+5+6=15
and , given , perimeter of larger triangle =90
let, the corresponding side of larger triangle be x,y,z
since, both triangle are similar
therefore, we know that the ratio of perimeter of two similar triangle is equal to the ratio of of their corresponding sides .
- perimeter of larger triangle / perimeter of smaller triangle =side of larger triangle / corresponding sode of smaller triangle.
- 90/15 =x/4
by solving it we get x=24
similarly,
90/15=y/5
by solving it we get y=30
and,
90/15 =z/6
by solving it we get z=36
hence,sides of larger triangle will be 24 ,30 and 36
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