一道SAT数学,06年的真题.What is the greatest possible area of a trian

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一道SAT数学,
06年的真题.
What is the greatest possible area of a triangle with one side of length 7 and another side of length 10?
A.17
B.34
C.35
D.70
E.140
正确答案是C.
我选对了,但不知道为什么.只是把这个三角形意淫成直角三角形.

C
一般的三角形面积公式是 a*b*sinc （两邻边一夹角）
当这个三角形是直角三角形时 sinc最大,为1,所以面积最大是7*10/2,当他是直角三角形时.

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