someone please solve this question need full solution please back answer is 67.25 cm^2
Answers
Answer:
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Step-by-step explanation:
Answer:
So, looking at the figure, we know that it is an equilateral triangle
Area of equilateral triangle is √3a²/4
Therefore area of the triangle is -
(√3 × 10²) / 4
= 100√3 / 4
= 25√3 = 43.3 cm² (Taking √3 as 1.732)
Now, in ΔCBD, since it is a right angled triangle,
(hypotenuse)² - (height)² = (base)²
Since ΔABD is an equilateral triangle, length of BD is 10 cm
Therefore 10² - 8² = (base)²
100 - 64 = 36
(base) = √36
base = 6 cm
Area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm²
Adding the two areas of the 2 triangles, we get
24 + 43.3 = 67.3 cm²
Therefore the total area of the figure is 67.3 cm² (It is very close to the textbook answer, so both these answers will be right since the value of √3 is just an approximation, so we can get a small difference between answers.)