A mosaic design is made of two similar triangles. The larger triangle has each side 1.5 times the corresponding side of the smaller one, and uses 360 cm^2 of coloured tiles (proportional to area). The smaller triangle uses x cm^2 of tiles. Find x (in cm^2).

Question

Accepted Answer

160. Area ratio (large:small) = 1.5^2 = 2.25. So 360/x = 2.25, giving x = 360/2.25 = 160 cm^2.

A mosaic design is made of two similar triangles. The larger triangle has each side 1.5 times the corresponding side of the smaller one, and uses $360 cm^{2}$ of coloured tiles (proportional to area). The smaller triangle uses $x cm^{2}$ of tiles.
Find $x$ (in $cm^{2}$ ).

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More Class 10 Similarity and Congruence practice

A mosaic design is made of two similar triangles. The larger triangle has each side 1.5 times the corresponding side of the smaller one, and uses 360cm2 of coloured tiles (proportional to area). The smaller triangle uses xcm2 of tiles.Find x (in cm2).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Similarity and Congruence practice

A mosaic design is made of two similar triangles. The larger triangle has each side 1.5 times the corresponding side of the smaller one, and uses $360 cm^{2}$ of coloured tiles (proportional to area). The smaller triangle uses $x cm^{2}$ of tiles.
Find $x$ (in $cm^{2}$ ).