4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
1 answer:
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Answer:
a) see attachment
b) base: 4, height: 4√3
c) area: 16√3
Step-by-step explanation:
a) The figure is drawn in the attachment
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b) The side lengths of a 30-60-90 right triangle have the ratio ...
1 : √3 : 2
Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.
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c) The area is the product of base and height:
A = bh
A = 4(4√3) = 16√3 . . . . square units
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