Q6 of 186 Page 229

The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.


Let the two triangles ABC and DEF have their altitudes as AS and DT.


We know that if two triangles are similar then the ratio of their areas is equal to the ratio of the squares of their corresponding altitudes.




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4

The areas of two similar triangles are 169 cm2 and 121 cm2 respectively. If the longest side of the larger triangle is 26 cm, find the longest side of the smaller triangle.

 5

ΔABC ~ΔDEF and their areas are respectively 100 cm2 and 49 cm2. If the altitude of ΔABC is 5 cm, find the corresponding altitude of ΔDEF.

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The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the first triangle is 6.3 cm, find the corresponding altitude of the other.

 8

The areas of two similar triangles are 100 cm2 and 64 cm2 respectively. If a median of the smaller triangle is 5.6 cm, find the corresponding median of the other.