Question

the area of two similar triangles are respectively 9 cm^2 and 16 cm^2 square. find the ratio of thier corresponding sides.​

Answer 1

Step-by-step explanation:

area of triangle is the ratio = 9:16

we know that the ratio of area of two triangle is equal to the ratio of square of the corresponding side

9:16 = 3/4

Answer 2

Answer:

3/4

Step-by-step explanation:

In similar triangles, the ratios of the corresponding sides are always equal.

Area of one triangle is 9 sq. cm and the other is 16 sq. cm

Area of each triangle

=1/2 bh

Let height of first triangle be h₁ and height of the second triangle be h₂.

Similarly, we will take b₁ and b₂ for the bases.

h₁/h₂=b₁/b₂=constant

So, A₁/A₂=1/2 *Constant*Constant

⇒9/16=1/2*Constant²

⇒Constant²∝9/16

⇒Constant∝3/4

Thus, the ratio of the corresponding sides is 3/4.

Hope it helps!

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