Maths-

General

Easy

Question

# The ratio of the bases of two triangles is a : b. If the ratio of their corresponding altitudes is c : d, find the ratio of their areas (in the same order).

Hint:

### Find the areas and divide

## The correct answer is: ac : bd

### It is given that ratio of bases of two triangle is a : b

⇒ Bases of the triangles = ax , bx

Similarly, it is given that ratio of altitudes is c : d

⇒ Altitudes of the triangle = cy , dy

Area of first triangle =

=

Area of second triangle =

Ratio of the areas of two triangle

=

=

Hence, ratio of area of two triangles is ac : bd

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