Problem: How to find the value of x if the area of the triangle formed by (10, 2),(-3, -4),(x, 1), is 5 square units
Solutions:
The area of triangle is
![\frac{1}{2}|[10(-4-1)-3(1-2)+x(2+4)]|=5\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_urSrr1uiN0tsOByi0YMpCyGQ5jBuuRqjJYDTgn5M-dkB1hFDKFoKiAQCUKIPHE99GlETSPb0iG00sEsu8Lq89mVcJffvWEFefeQND2m3aO1voSKdHxNNveSg2hyci6iLB1_0ULV6vXV3XCjpwPfTbeiUuvBU4qEpy87or5oQ=s0-d)
Therefore, the value of x is 19/2 units.
List of Similar Problems with Complete Solutions
- How to find the area of a polygon
- How to find distance between two points
- Examples Problems with Solutions in Geometry
NOTE:
For any Questions, Clarifications and any violent Reactions use the comment section below. I'll be much willing to assist you.
credit: Todd©2013 www.FroydWess.com
Read More »
Tags:
Area,
Geometry Problems
is![\frac{1}{2}|[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sQR0ijciyThOAv7SXnNSNWhov7R1r5ewctN0TTSFXYP72zxkZYyKagHx9uHT7QN4NO48p1yICeFQybJjAjIe9I5qwAh1jMKtPdNsIKaLruT2RZwAioj8ot4SZUxjHAZPQOyC9zAwJi1Dtjj0JriB0XKgctoz2nsqFLCUbxxg=s0-d)
![\frac{1}{2}|[2(6-5)+2(5-4)+(2+\sqrt{3})(4-6)]|\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_u6P5ZD0mA05IUBJOZf4ulc2L-_2YvBDkI7wHLbRklg6ciSCenp-IrrlRIAa4i4IWwCAnZLb86aZbMaOyQb3T3nigtIruJyrIrMGjDFeKjpf4ssaTI5Wa300jMzCgIcV2umjqz9aEfHt9Nv1drtiJrh7pdn8fqW2lDUyIPO=s0-d)
. 
![\frac{1}{2}|[1(-1+5)+3(-5-3)-5(3+1)]|\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uoEmpfSGH7TRsIQM0ykwMyyEBDxVOiLpXlcFUKC1CTvpim4EkM0KJqs7M_W0BgAmn2rfsAQiBB5-Kd7qI4GNAdHgduppyJIX9iefaHqud0dj5vN5emK98xaVHjyzcq4MvDCoWivjAUjRimZK_IADk-v8RmMl9Q-4SL9ibN7A=s0-d)
![\frac{1}{2}|[5(-3+5)-9(-5-2)-3(2+3)]|\,](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sz2lc50tU4-Qg5JfVE8PY-oCPcfZ-suy2cgtmi43dRXzDOyfENrREK4MDXWTMOdzM7hqNhztuqbnB3fb7jnh3LgPnlV1YJVctbfm1Vfmx_H0l_qmIW_8IPQF08XZPhyT_XivCrqq-A7uMqRAhl2Bxs-Y0XsXemYshPPsGuMg=s0-d)
