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Answers
Answer:
1) The angle is 25°
Let the required angle be x°
Complementary angle with respect to x° is
(90 - x)°
Supplementary angle with respect to x° is
(180 - x)°
Given that,
7(90 - x) = 3(180 - x) - 107(90−x)=3(180−x)−10
630 - 7x = 540 - 3x - 10630−7x=540−3x−10
100 = 7x - 3x100=7x−3x
4x = 1004x=100
⇒x=25°
Therefore, the required angle is 25°
2)Using the Heron’s formula to solve the problem:
a = 150 cm
b = 120 cm
c = 200 cm
Perimeter, P = 150 + 120 + 200 = 470
Semi-perimeter, S = 470/2 = 235
Area = √ ( S)° (S - a)° (S - b)° (S - c) )
Area = √ ( 235)° (235 - 150)° (235 - 120)° (235 - 200) )
Area = √ ( 235)° (85)° (115)° (35) )
Area = √ (80339375)
Area = 8,966.57 cm²
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Answer:
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