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[img]2015m7x/ct_egreqj_egreqjs_0079_20151[/img]What is the area of triangle ABC
[img]2015m7x/ct_egreqj_egreqjs_0079_20151[/img]What is the area of triangle ABC
游客
2025-02-23
20
管理
问题
What is the area of triangle ABC shown above?
选项
A、18
B、20
C、12
D、18
E、36
答案
D
解析
The triangle is a 30°-60°-90° triangle, so the ratio of the lengths of the legs is 1 to
. Since the length of the shorter leg, AB, is 6, it follows that the length of the longer leg, AC, is 6
. The area of the triangle is therefore
, or 18
. The correct answer is Choice D.
This explanation uses the following strategies.
Strategy 4: Translate from a Figure to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
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