17 In the figure below, ABC is a triangle with angle BAC =90°AB = 1 2 cm and co ∠ABC-(15)/(17) D is a point on AB such that12 cm B D =9 cm.D(a) Find the tength of BC.C9an(b) Find the exact value of Btan ∠BDC(c) Find the perpendicular distance of D to BC....
设AD=AC=x,则AB=x+n. 在Rt\triangle ABC中,根据勾股定理, 得(3n)^2+x^2=(x+n)^2,解得x=4n, 过点A作AF\bot CD于点F∴CF=DF. ∵BE\bot CD,∴AF\parallel BE. ∴{DE}\over{CD} ={DE}\over{2DF} ={1}\over{2}\times {1}\over{4} ={1}\over{8} . 故选C。反馈...
Step 1: Identify the triangle and given valuesWe have a right triangle ABC where:- Angle B = 90°- AB = 8 cm- BC = 6 cm Step 2: Find the length of AC using the Pythagorean theoremAccording to the Pythagorean theorem:AC2=AB2+BC2 Substituting the known values:AC2=82+62AC2=64+36AC2...
In a right angle triangle ΔABC is which ∠B=90∘ a circle is drawn with AB diameter intersecting the hypotenuse AC at P.Prove that the tangent to the circle at PQ bisects BC. View Solution ABC is a right triangle with AB = AC.If bisector of ∠A meet BC at D then prove that ...
Answer to: Refer to the right triangle ABC with C = 90 degrees. Use the given information to find the six trigonometric functions of A. b = 8, c =...
如图,在\triangle ABC中,\angle BAC=90^{\circ},AB=AC,AE是过点A的一条射线,且B,C在AE的异侧,BD\bot AE于点D,CE\bot AE于点E。求证:BD=DE+CE。 相关知识点: 试题来源: 解析 证明:\because BD\bot AE,CE\bot AE \therefore\angle ADB=\angle CEA=90^{\circ} \therefore\angle ACE+\ang...
在\triangle{ABC} 中,\angle{C} =90\degree,\angle{A}、\angle{B}、\angle{C}的对边分别是a、b、c。 (1)若a=3,b=4,则c= (2)若b=5,c=13,则b= (3)若b=2,c=3,则a=相关知识点: 试题来源: 解析 (1)5; (2)12; (3)\root \of {5}。 (1)若a=3,b=4,则c=\root \of {...
If angle C of triangle ABC is900,then prove thattanA+tanB=c2ab(where,a,b,c,are sides opposite to anglesA,B,C,respectively). View Solution In△ABC,(a+b−c)tan(C2)= View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7...
∠ B = 90 ∘ If AB = 6 cm, BC = 8 cm, Find AC, Video Solution| ShareSave Answer Step by step video, text & image solution for In a right triangle ABC, angleB = 90^@ If AB = 6 cm, BC = 8 cm, Find AC, by Maths experts to help you in doubts & scoring excellent mar...
Answer to: In a right triangle, ABC with C = 90 degrees, a = 4 and b = 1. Use the given information to find the six trigonometric functions of A...