triangle

Situation
A triangular lot ABC have side BC = 400 m and angle B = 50°. The lot is to be segregated by a dividing line DE parallel to BC and 150 m long. The area of segment BCDE is 50,977.4 m².
 

Part 1: Calculate the area of lot ABC.
A. 62,365 m²
B. 59,319 m²
C. 57,254 m²
D. 76.325 m²
 

Part 2: Calculate the area of lot ADE.
A. 8,342 m²
B. 14,475 m²
C. 6,569 m²
D. 11,546 m²
 

Part 3: Calculate the value of angle C
A. 57°
B. 42°
C. 63°
D. 68°
 

Problem 715
Determine the coordinates of the centroid of the area shown in Fig. P-715 with respect to the given axes.
 

For a triangle of given three sides, say a, b, and c, the formula for the area is given by
 

where s is the semi perimeter equal to P/2 = (a + b + c)/2.
 

Problem 010
The triangular block shown in Fig. P-010 is subjected to the loads P = 1600 lb and F = 600 lb. If AB = 8 in. and BC = 6 in., resolve each load into components normal and tangential to AC.