Triangle (ABC) is a right angled triangle. Also (AC=5), (CB=3) and angle (ADB) is a right angle.What is the length of (DB)? 相关知识点: 试题来源: 解析 (2.4) This is another special triangle problem. The hypotenuse =5, one leg =3, so the other leg ((AB)) =4Now ...
解析 SolutionSince AE bisects Since CB=CD, ABCD is isosceles so y = In AABD, by the sum of interior angles of a triangle,2x +(90+3)+y =18090+2x+ 2y=1802x+2y = 90x+y =45In AABE, using the sum of interior angles,x+(90+y)+90+(x+y)+90+45+45+ ...
Question: Triangle ABC is right-angled. Triangle DEF is isosceles. They have the same perimeter. Calculate the area of triangle DEF. Area of a Triangle: We determine the area of a triangle by identifying the base and height. In addition, the...
The area of △ABC is 12.5, and so the leg length of 45−45−90 △ABC is 5. Thus, the altitude to hypotenuse AB, CF, has length 5√2 by 45−45−90 right triangles. Now, it is clear that ∠ACD=∠BCE=30∘, and so by the Exterior Angle Theorem, △CDE is an isosceles...
To solve the problem, we need to find the value of sinA+sinB+sinC for triangle ABC which is right-angled at B and has the sides AB and BC in the ratio 3:4. 1. Understanding the Triangle: - Since triangle ABC is right-angled at B, we can denote the sides as follows: - Let AB...
The rays trisecting ∠ACB intersect AB at D and A. What is the area of △CDE?等腰直角三角形ABC,C是直角,面积为12.5。∠ACB的三等分线交AB于D和E。则△CDE的面积是多少? B. 5√23 C. 50√3−754 D. 15√38 E. 50−25√32 F. 256 相关知识点: 试题来源: 解析 D 反馈 收藏 ...
In a right triangleABC, right angled atB,BC=12cmandAB=5cm. The radius of the circle inscribed in the triangle (in cm) is (a) 4 (b) 3 (c) 2 (d) 1 View Solution Give a right angle triangle ABC with right angled at C.∠C=90∘and a,b,c are lengths of corresponding sides.(...
(1)\triangle ABC中,\because \angle B={100}^{\circ },\angle A=\angle C \therefore \angle A=\angle C=\dfrac{1}{2}\times \left({180}^{\circ }-{100}^{\circ }\right)={40}^{\circ } (2)\triangle ABC中,\angle A+\angle B+\angle C={180}^{\circ } \because \angle ...
5A0B CxM x In the diagram, triangle AB C is right-angled at C and M is the mid-point of BC. It is given that angleABC=1/3πr adians and angle BAM = 0 radians. Denoting the lengths of BM and M C by x,(i) find AM in terms of x,[3] (i) showthatθ=1/6π-tan^...
1In the right triangle ABC, AC=12, BC=5, and angle C is a right angle. A semicircle is inscribed in the triangle as shown. What is the radius of the semicircle?( ).B5A C12 A.76 B.135 C.5918 D.103 E.6013 2【题目】In the right triangle ABC, AC=12, BC=5, andangle C ...