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[img]2022m10s/ct_ve01203002j_egreqjs_0183_202211[/img]Which of the following st
[img]2022m10s/ct_ve01203002j_egreqjs_0183_202211[/img]Which of the following st
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2024-01-12
5
管理
问题
Which of the following statements about triangle PQR shown in the xy-plane are true?
选项
A、PQR is a right triangle.
B、The area of PQR is 15/2.
C、PQR is an isosceles triangle.
答案
A,B
解析
选项A: 方法1:计算QR所在直线和PR所在直线的斜率,利用两条直线垂直斜率为-1的性质可知,直线QR和PR垂直,A正确;
方法2:利用两点间距离公式,分别计算出
可知三边正好满足勾股定理:
则PQR是直角三角形,A正确;
选项B: 三角形面积为:
B正确;
选项C:算出三边长后可知△PQR中没有相等的两条边,C错误。
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