Question
The sides of a triangle are 15 cm, 20 cm, and 25 cm. A
smaller triangle is drawn inside it such that its sides are proportional to the original triangle and the ratio of areas of the smaller triangle to the original triangle is 1:16. Find the perimeter of the smaller triangle.Solution
The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding sides. Given the area ratio = 1:16, the side ratio = √1:√16 = 1:4. Perimeter of the original triangle = 15 + 20 + 25 = 60 cm. Perimeter of the smaller triangle = 60 ÷ 4 = 15 cm. Correct answer: a) 15 cm
What value should come in the place of (?) in the following number series?
178, ?, 692, 861, 982, 106331Â Â Â 40Â Â Â 51Â Â Â 64Â Â Â 79Â Â Â Â ?
What will come in place of the question mark (?) in the following series?
92, 153, 220, ?, 364, 443
32, 48, 72, 108, ?, 243
10, 10, 15, 30, 75, ?
17, 36, 65, 104, 153, ?
12, 16, ?, 48, 76, 112
114, 146, 210, 306, 434, ?
What will come in place of (?) Question mark in the given number series.
10, 15, 30, 75, 225, 787.5, ?
5, 18, 39, ?, 105, 150
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