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, find the triangle's smallest height. A.6 B.12 C.12.5 D.13 E.15相关知识点: 试题来源: 解析 B This is a Pythagorean triple (a 3−4−5 actually) with legs 15 and 20. The area is then (15)(20)2=150. Now, consider an altitude drawn to any side. Since the area remains ...
Side Lengths of a Right Triangle Reproduced as Perimeters of Other Right Triangles: A Sketch and ProofKaufman, RichardOhio Journal of School Mathematics
20.A triangle can be formed having side lengths 4,5and 8.It is impossible,however,to construct atriangle with side lengths 4,5 and 9.Ron has eightsticks,each having an integer length.He observesthat he cannot form a triangle using any three ofthese sticks as side lengths.The shortest po...
Which triangle has different side lengths and angles? A. equilateral triangle B. isosceles triangle C. scalene triangle 相关知识点: 试题来源: 解析 C。不等边三角形的三条边长度不同,角度也不同,equilateral triangle 是等边三角形,isosceles triangle 是等腰三角形。反馈 收藏 ...
A Let x be the length of the first side. The lengths of the sides are: x, 3x, and 15. By the Triangle Inequality, 3x<x+15, 2x<15, x<152. The largest integer satisfing this inequality is 7. So the largest perimeter is 7+3⋅7+15=43⇒A.反馈...
There exists many different categories of triangles that we differentiate from each other based on the relationships between the angles and side lengths of each type of triangle. One such type of triangle is the equilateral triangle. An equilateral triangle is a triangle wit...
结果1 题目 △ RST is a right triangle with side lengths of r, s, and t, as shown below. What is the value of cos^2S+cos^2R? ( ) A. 1 B. √2 C. √3 D. (√2)2 E. (1+√2)3 相关知识点: 试题来源: 解析 A 反馈 收藏 ...
We classify a triangle as isosceles (two sides of equal length), equilateral (all sides of equal length), or scalene (no sides of equal length) based on the lengths of its sides, and we classify a triangle as obtuse (contains an angle greater than 9...
11.Prove that there is one and only one triangle whose side lengths are consecutive integers,and one of whose angles is twice as large as another.(ROU)1.证明:仅存在一个三角形使得它的三边的长为三个连续的自然数,且它的三个内角中有一个为另一个的两倍.(罗马尼亚)1.Prove that there is one...