Question
A triangle ABC is inscribed in a circle with radius 10
cm. The sides of the triangle are AB = 12 cm, BC = 16 cm, and AC = 20 cm. Find the area of the triangle.Solution
Area of the triangle using Heron’s formula: Semi-perimeter, s = (AB + BC + AC) / 2 = (12 + 16 + 20) / 2 = 24 cm. Area = √[s(s - AB)(s - BC)(s - AC)] Area = √[24(24 - 12)(24 - 16)(24 - 20)] Area = √[24 × 12 × 8 × 4] Area = √9216 = 96 cm² Correct Option: a
Evaluate: 360 ÷ [ {18 − (6×2)} × 5 ] + 72 − 33
(43)² - (28)² + (32)² = ?% of 2500
Evaluate:
√729 + √49 - √16 + 1/√64
What will come in place of (?) in the given expression.
12.5 + 7.75 - 3.6 = ?62 of 8 - 320 ÷ 4 = ?3 + 200
2(1/3) + 2(5/6) – 1(1/2) = ? – 6(1/6)
What will come in the place of question mark (?) in the given expression?
30% of 520 + 16% of 1500 = ? + 244
60% of 120 – ?% of 64 = 20% of 200
35% of 840 + 162 = ? – 25% × 300
20% of 240 + 18% of 200 = ?
