Select the sets of numbers in the following, which can form similar triangles.

(i) 3, 4, 6 (ii) 9, 12, 18 (iii) 8, 6, 12 (iv) 3, 4, 9 (v) 2, 4 ½, 4.

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Solution

Consider the set of numbers in (i) and (ii).

Thus, the triangles with the side lengths given in sets (i) and (ii) form two similar triangles.

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Similar questions

\begin{matrix} n & l & m_{1} & m_{s} (i) & 3 & 1 & - 2 & - \frac{1}{2} (i i) & 2 & 1 & 0 & + \frac{1}{2} (i i i) & 4 & 2 & - 1 & - \frac{1}{2} (i v) & 3 & 2 & 0 & + \frac{1}{2} (v) & 2 & 0 & + 1 & - \frac{1}{2} \end{matrix}

Write the following sets in the set-builder form:

(i) {3, 6, 9, 12} (ii) {2, 4, 8, 16, 32}

(iii) {5, 25, 125, 625} (iv) {2, 4, 6,........}

(v) {1, 4, 9,........,100}

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