Question
In a right triangle ABC, angle B = 90°. If tan A = 3/4
and the length of the hypotenuse is 25 cm, find the area of the triangle.Solution
ATQ,
We have a right triangle with: tan A= 3/4, meaning the opposite side is 3x and the adjacent side is 4x. The hypotenuse is 25 cm.
Use the Pythagorean theorem: (3x)2 + (4x)2 = 252
Solve for x, which gives x=5. The sides of the triangle are: Opposite side = 3x=15 cm, Adjacent side = 4x=20 cm. The area is = (1/2) × 15 cm × 20 cm = 150 cm2
10, 22, 46, ?, 130, 190
If  8      x     6.5    12.25     22.125     36.0625
Then, 20% of 25% of x = ?
...15, 65, 165, 315, ?, 765
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...640Â Â Â Â 322Â Â Â Â Â 164Â Â Â Â Â Â 86Â Â Â Â Â 48Â Â Â Â Â ?
...D irection: Which of the following will replace ‘?’ in the following series
300, 300, 301, 303, ‘?’, 324, 364
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3601 3602 1803 604 154 36
...3  16  22  ?   98   206
34Â Â Â 35Â Â Â Â 44Â Â Â Â 69Â Â Â 118Â Â Â ?
