42. Ratio of volumes of a Cone, a Cylinder and a Hemi-sphere
of same base radius and equal heights is
(1) 1:2:3
(2) 3:2:1
(3) 1:3:2
(4) 3:1:2
43. The area of equilateral triangle is 3673 cm?, then the
perimeter is
(1) 16
(2) 32
(3) 36
(4) 72
44. If 3 tan A=4 then sin A=
cm.
3
4
(1) 4
(2)
(3)
4
5
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Answers
Answered by
11
Step-by-step explanation:
We know that ;
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
That is,
\rm \dfrac{Area \: 1}{Area \: 2}= \left(\dfrac{Length \: 1}{Length \: 2}\right)^2
Area2
Area1
=(
Length2
Length1
)
2
Given that,
Length of two corresponding sides are 3 cm and 5 cm.
Ratio of length = 3 : 5
\rm \dfrac{Area \: 1}{Area \: 2}=\left(\dfrac{3}{5}\right)^2
Area2
Area1
=(
5
3
)
2
⇒ \rm \dfrac{Area \: 1}{Area \: 2}= \dfrac{9}{25}
Area2
Area1
=
25
9
Hence, the ratio of the areas of two similar triangles is 9 : 25.
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