Triangle

Plane coordinates of vertices: K[11, -10] L[10, 12] M[1, 3] give Triangle KLM.

Calculate its area and its interior angles.

Correct result:

S =  103.5
K =  34.966 °
L =  47.6026 °
M =  97.4314 °

Solution:

x0=11 y0=10  x1=10 y1=12  x2=1 y2=3   LM=ML=(k0,k1) k0=x2x1=110=9 k1=y2y1=312=9  KM=MK=(l0,l1) l0=x2x0=111=10 l1=y2y0=3(10)=13  LK=KL=(m0,m1) m0=x0x1=1110=1 m1=y0y1=(10)12=22   k=k02+k12=(9)2+(9)2=9 212.7279 l=l02+l12=(10)2+132=26916.4012 m=m02+m12=12+(22)2=48522.0227  s=k+l+m2=12.7279+16.4012+22.0227225.5759 S=s (sk) (sl) (sm)=25.5759 (25.575912.7279) (25.575916.4012) (25.575922.0227)=2072=103.5

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#
Math student
It's Great!. Am grateful.

2 years ago  1 Like
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Still don't get it though

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I find it hard ... But I think I will get there. ... Slowly but surely ...

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I still dont understand

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I need one question

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Tips to related online calculators
For Basic calculations in analytic geometry is a helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Our vector sum calculator can add two vectors given by its magnitudes and by included angle.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
Pythagorean theorem is the base for the right triangle calculator.

 
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