Question
In structural design a structure is composed of triangles that are interconnecting. A truss is one of the major types of engineering structures and is especially used in the design of bridges and buildings. Trusses are designed to support loads, such as the weight of people. A truss is exclusively made of long, straight members connected by joints at the end of each member.
This is a single repeating triangle in a truss system.
(i) In above triangle, what is the length of $A C$ ?
(a) 5 ft $\qquad$ (b) 6 ft $\qquad$ (c) 8 ft $\qquad$ (d) $\frac{8}{\sqrt{3}} ft$
(ii) What is the length of $B C$ ?
(a) $\frac{4}{\sqrt{3}} ft$ $\qquad$ (b) $4 \sqrt{3} ft$ $\qquad$ (c) 8 ft $\qquad$ (d) $8 \sqrt{3} ft$
(iii) If $\sin \Lambda=\sin C$, what will be the length of $B C$ ?
(a) 2 fl $\qquad$ (b) 4 ff $\qquad$ (c) 8 ft $\qquad$ (d) $4 \sqrt{2} ft$
(iv) Which of the following relation will be Irue in the triangle?
(a) $\sin \left(\frac{A+C}{2}\right)=\cos \left(\frac{B}{2}\right)$
(b) $\sin \left(\frac{A+B}{2}\right)=\sin \left(\frac{C}{2}\right)$
(c) $\cos \left(\frac{A+B}{2}\right)=\cos \left(\frac{C}{2}\right)$
(d) $\cos \left(\frac{A-B}{2}\right)=\cos \left(\frac{C}{2}\right)$
This is a single repeating triangle in a truss system.
(i) In above triangle, what is the length of $A C$ ?
(a) 5 ft $\qquad$ (b) 6 ft $\qquad$ (c) 8 ft $\qquad$ (d) $\frac{8}{\sqrt{3}} ft$
(ii) What is the length of $B C$ ?
(a) $\frac{4}{\sqrt{3}} ft$ $\qquad$ (b) $4 \sqrt{3} ft$ $\qquad$ (c) 8 ft $\qquad$ (d) $8 \sqrt{3} ft$
(iii) If $\sin \Lambda=\sin C$, what will be the length of $B C$ ?
(a) 2 fl $\qquad$ (b) 4 ff $\qquad$ (c) 8 ft $\qquad$ (d) $4 \sqrt{2} ft$
(iv) Which of the following relation will be Irue in the triangle?
(a) $\sin \left(\frac{A+C}{2}\right)=\cos \left(\frac{B}{2}\right)$
(b) $\sin \left(\frac{A+B}{2}\right)=\sin \left(\frac{C}{2}\right)$
(c) $\cos \left(\frac{A+B}{2}\right)=\cos \left(\frac{C}{2}\right)$
(d) $\cos \left(\frac{A-B}{2}\right)=\cos \left(\frac{C}{2}\right)$
