In a right isosceles triangle, the lengths of the two nonhypotenuse sides are designated a. What is the area of the triangle in

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问题 In a right isosceles triangle, the lengths of the two nonhypotenuse sides are designated a. What is the area of the triangle in terms of a?

选项 A、 
B、 
C、 
D、 
E、 

答案C

解析 The formula for the area of a triangle is 1/2 bh. You can orient an isosceles right triangle so that the two equal sides form both the base and the height. If these sides are of length a, then plugging these values into the area formula gives us the result 1/2 a2, which is answer C. The diagram shows how the equal sides form both the base and the height:
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