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Pythagoras Theorem

Select the se...

Question

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

(i)

{3, 6, 9, 12}

(i i)

{2, 4, 8, 16, 32}

(i i i)

{5, 25, 125, 625}

(i v)

{2, 4, 6, . . . .}

(v)

{1, 4, 9, . . . ., 100}

Can you now do these?

(i) 4 − 7

(ii) 3 − 9

(iii) 6 − 10

(iv) 2 − 12

(v) 4 − 12

Write four more rational numbers in each of the following patterns:

(i) (ii)

(iii) (iv)

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.

2, 3, 4

6, 8, 10

9, 10, 11

8, 15, 17

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