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Masteriza [31]
3 years ago
13

PLZ HELP SCALE FACTOR TRIANGLE A. 10.5 cm B. 31.5 cm C. 63 cm D. 189 cm

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².

We have the ratio:

54:18=\dfrac{54}{18}=3:1

Area of the smaler triangle = x

Area of the larger triangle = 567 cm²

Therefore we have the equation:

567:x=3^2:1^2\\\\\dfrac{567}{x}=\dfrac{9}{1}\qquad|\text{cross multiply}\\\\9x=567\qquad|\text{divide both sides by 9}\\\\x=63

<h3>Answer: C. 63 cm²</h3>
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