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ASHA 777 [7]
3 years ago
12

Find the area of square ABCD in whichdiagonal BD=3√2cm​

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

area of square when given only diagonal is 1/2d×square so

1/2×3√2×3√2

=9 cm square

Step-by-step explanation:

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1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.
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Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

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Part 2) The surface area of the pyramid is 288\ cm^{2}

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

sin(x)=\frac{16}{20}

x=arcsin(\frac{16}{20})=53.13\°

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Part 2) we know that

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so

SA=b^{2}+4[\frac{1}{2}(b)(h)]

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b is the length side of the square

h is the height of the triangular lateral face

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h=b/2 -------> by an 45° angle

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b=2h

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