Ratio of corresponding sides of two similar triangles is 2:7, If the area of the small triangle is 64 sq.cm. then what is the area of the bigger triangle?
Answers
Answer:
We know the theorem :
The ratio of the areas of two
similar triangles is equal to the
ratio of the squares of their
corresponding sides .
Here ,
Let A1,A2 are areas of two similar
triangles and s1,s2 are their
corresponding sides respectively ,
s1:s2=2:5
=>s1/s2=2/5 -----(1)
A1=64m²,
A2=?
(s1/s2)²=(A1/A2)
=>(2/5)²=(64/A2)
=>A2=(64×25)/4
=16×25
=400
Therefore ,
Area of bigger triangle (A2)=400cm²
The ratio of the areas of two
similar triangles is equal to the
ratio of the squares of their
corresponding sides .
Here ,
Let A1 , A2 are areas of two similar triangles and s1 , s2 are their corresponding sides respectively ,
s1 :s2
=2:5
=>s1 /s2
=2/5 -----(1)
A1 =64m²,
A2 =?
(s1 /s2 )²=(A1 /A2 )
=>(2/5)²=(64/A2 )
=>A2 =(64×25)/4
=16×25
=400
Therefore, Area of bigger triangle (A2 )=400cm²