The length of two sides of a triangles are 8cm and 10cm and the angle between them is 40° calculate its what is the area of the triangle with sides of the length but angle between them 140°
Answers
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Answer:
40/140=8/x and 40/140=10/x
x=140/40×8 and x=140/40×10
X=70 and X=35
so area=1/2×70×35
35×35
1225
Step-by-step explanation:
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Answered by
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Answer:-
If the angle between the sides is 140° sin 140 = sin(180 – 40) = sin 40 The area of the triangles will be same.
Solution:-
- Area of the triangle = 1 2 12x 10 x AD In ∆ ABD sin 40 = A D A B ADAB AD = AB x sin 40 = 8 sin 40 = 8 x 0.6428 = 5.1424 cm
- ∴ Area = 1 2 x 10 x A D 12x10xAD = 1 2 x 10 x 5.14 12x10x5.14. = 25.7 cm2
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