A triangle has sides 7 cm, 24 cm and 25 cm. A second triangle is drawn with every side three times as long. By how many cm² does the area of the larger triangle exceed that of the smaller one?

Question

Accepted Answer

672. 7² + 24² = 49 + 576 = 625 = 25², so the smaller triangle is right-angled with area ½ × 7 × 24 = 84 cm². Tripling every side multiplies the area by 3² = 9, giving 756 cm². The excess = 756 − 84 = 672 cm².

A triangle has sides 7 cm, 24 cm and 25 cm. A second triangle is drawn with every side three times as long. By how many $cm^{2}$ does the area of the larger triangle exceed that of the smaller one?

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More Areas & Volumes practice

A triangle has sides 7 cm, 24 cm and 25 cm. A second triangle is drawn with every side three times as long. By how many cm2 does the area of the larger triangle exceed that of the smaller one?

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A triangle has sides 7 cm, 24 cm and 25 cm. A second triangle is drawn with every side three times as long. By how many $cm^{2}$ does the area of the larger triangle exceed that of the smaller one?