Question

The ares of two similar triangles are 9sq cm and 16 sq cm.If Bases are same, then the ratio of corresponding heights is *
9:16
3:4
4:3
16:9

Answer 1

Answer:

9:16 is the correct answer.

Step-by-step explanation:

area of the 1st triangle =1/2*b*h1

9=1/2*b*h1...........eq1

area of the 2nd triangle =1/2*b*h2

16=1/2*b*h2

it is given that,

base of both the triangles are same

now,

the ratio of the heights of both the triangle are

9/16=1/2*b*h1 ÷1/2*b*h2

9/16=h1/h2

h1:h2=9:16

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