A triangle has sides 26 cm, 28 cm and 30 cm. A second triangle is similar to it and has perimeter 42 cm. Find the area of the second triangle in cm².

Question

Accepted Answer

84. For the first triangle s = (26 + 28 + 30)/2 = 42, so its area = √(42 × 16 × 14 × 12) = √112896 = 336 cm². Its perimeter is 84 cm, so the second triangle has linear ratio 42/84 = 1/2 and its area = 336 × (1/2)² = 336/4 = 84 cm².

A triangle has sides 26 cm, 28 cm and 30 cm. A second triangle is similar to it and has perimeter 42 cm. Find the area of the second triangle in $cm^{2}$ .

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More Areas & Volumes practice

A triangle has sides 26 cm, 28 cm and 30 cm. A second triangle is similar to it and has perimeter 42 cm. Find the area of the second triangle in cm2.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A triangle has sides 26 cm, 28 cm and 30 cm. A second triangle is similar to it and has perimeter 42 cm. Find the area of the second triangle in $cm^{2}$ .