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One smaller and one larger triangle side by side.
A triangle has a base of 8 cm and a height of 3 cm. The triangle is dilated by a scale factor of 3. Calculate and compare the areas of the dilated triangle and the original triangle.
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GPT-5 mini
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Original area = 1/2 × 8 × 3 = 12 cm².
After dilation by factor 3: linear measures ×3 → base = 24 cm, height = 9 cm, area = 1/2 × 24 × 9 = 108 cm².
The dilated triangle's area is 108 cm², which is 9 times the original area (scale factor for area = 3² = 9).
After dilation by factor 3: linear measures ×3 → base = 24 cm, height = 9 cm, area = 1/2 × 24 × 9 = 108 cm².
The dilated triangle's area is 108 cm², which is 9 times the original area (scale factor for area = 3² = 9).
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