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 answer:

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

Step-by-step explanation:

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=2k+l+m=212.7279+16.4012+22.022725.5759 S=s (sk) (sl) (sm)=25.5759 (25.575912.7279) (25.575916.4012) (25.575922.0227)=2207=10321=103.5
K=angle(KL,KM) K1=arccos(l ml0 m0l1 m1)=arccos(16.4012 22.0227(10) 113 (22))0.6103 K=K1  °=K1 π180   °=0.6103 π180   °=34.966  °=34.966=34°5758"
L=angle(LK,LM) L1=arccos(k mk0 m0+k1 m1)=arccos(12.7279 22.0227(9) 1+(9) (22))0.8308 L=L1  °=L1 π180   °=0.8308 π180   °=47.603  °=47.6026=47°369"
M1=arccos(k lk0 l0+k1 l1)=arccos(12.7279 16.4012(9) (10)+(9) 13)1.7005 M=M1  °=M1 π180   °=1.7005 π180   °=97.431  °=97.4314=97°2553"

Try calculation via our triangle calculator.




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Showing 5 comments:
#
Math student
It's Great!. Am grateful.

4 years ago  1 Like
#
Math student
Still don't get it though

3 years ago  1 Like
#
Math student
I find it hard ... But I think I will get there. ... Slowly but surely ...

#
Math student
I still dont understand

#
Math student
I need one question

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