4. In triangle ABC the bisector of angle BCA intersects the circumcircle again at R, the per-pendicular bisector of BC at P, and the perpendicular bisector of AC at Q. The midpoint of BC is K and the midpoint of AC is L. Prove that the triangles RPK and RQL have the same area....
In triangle ABC, angle BAC = 60°, and BC = AB. What is the measure of angle BCA? 相关知识点: 试题来源: 解析 解析: 根据题目中给出的信息,我们需要求解角BCA的度数。 根据三角形内角和定理,三角形ABC的三个内角之和等于180度,即角BAC + 角ABC + 角BCA = 180°。 已知角BAC = 60°,并...
In a triangle ABC, angle A = 60 degrees, angle B = 70 degrees. What is the measure of angle C? A. 50 degrees B. 60 degrees C. 70 degrees D. 80 degrees 相关知识点: 试题来源: 解析 A。三角形内角和是 180 度,已知角 A 和角 B 的度数,那么角 C 的度数为 180 - 60 - 70 =...
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<p>To find the length of CD in triangle ABC where angle A is a right angle, we can follow these steps:</p><p><strong>Step 1: Identify the triangle and its dimensions</strong> In triangle ABC: - Angle A is 90 degrees. - Length AC = 6 cm. - Length BC = 10
In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC. 相关知识点: 试题来源: 解析 ...
In triangle ABC, side AB has length 8 cm, side BC has length 7 cm and side AC has length 6 cm.Find the size of angle ABC. 相关知识点: 试题来源: 解析 46.6° cos A = (b^2+c^2-a^2)(2bc)cos x = ((7)^2+(8)^2-(6)^2)(2(7)(8))cos x = (11)(16)x = cos^-...
In a triangle ABC the angle C is three times the size of angle A, the angle B is twice the size of angle A. Then the triangle ABC A. is equilateral B. is isosceles C. has an obtuse angle D. has a right-angle E. has only acute angles 相关知识点: ...
Cancelling 13, we obtain DF= \dfrac{16}{5}, so our answer is 16+5=\boxed{21~\rm(B)}.Using the similar triangles in triangle ADC gives AE= \dfrac{48}{5} and DE= \dfrac{36}{5}. Quadrilateral ABDF is cyclic, implying that \angle B+\angle DFA= 180^{\circ}. Therefore, \...
In Triangle ABC, ∠A is 10 degrees greater than ∠B, and ∠B is 10 degrees greater than ∠C. The value of angle B is _出国考试答疑器_GMAT_试题_Problem Solving