Question
In a right triangle, the hypotenuse is 13 cm and one leg
is 5 cm. What is the radius of the circle inscribed in the triangle?ÂSolution
Using Pythagoras theorem we get third side = 12 cm For a right triangle, the inradius is given by r = (a + b - c) / 2, where a and b are the legs and c is the hypotenuse. Substituting the values, r = (5 + 12 - 13) / 2 = 2 cm. Correct answer: a) 2 cm
More Quant Miscellaneous Questions
√14400 x √8100 - (60)² = ? + (80)²
2856 ÷ 34 = ?% of 240
Find the simplified value of the given expression:
(125 - 75 ÷ 3 of 5) ÷ 2 + 4 of 12 ÷ 3 - 16 of 5 ÷ 20
[4(1/2) + 4(1/3)] × 12 – 42 = ?2
345 × 20 ÷ 4 + 28 + 60 = ?Â
15% of 695 – 12.5% of 250 =? – 1200
Simplify the following expression.
(3-3 × 3 + 3 ÷ 3 + 3 × 5) × 2 of 5 + (2 + 2 ÷ 2 + 2 × 2 - 2)
- What will come in place of the question mark (?) in the following questions?
48 + 36 ÷ 6 × 2 = ? 22 + 60 × 3 ÷ 12 = ?
Simplify-
x + 3(y + x – 2) – (x + y).
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