Question

Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth

Answer 1

Answer:

Option C: JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

△ JKM is divided into right triangles JLM and JLK.  

If it is right angled triangle.

KM^{2}=JK^{2}+JM^{2}.

Length of KM would be:  

KM=KL+LM

By Pythagoras theorem in △ JLM,  

sqrt= square root

LM=\sqrt{JM^{2}-JL^{2}}

LM=\sqrt{8^{2}-5^{2}}

LM=\sqrt{64-25}

LM=\sqrt{39}=6.244997998= approx 6.24

length of KL would be.

KL=\sqrt{JK^{2}-JL^{2}}  

KL=\sqrt{13^{2}-5^{2}}

KL=\sqrt{169-25}

KL=\sqrt{144}=12

Length of KM:

KM=12+6.24=18.24

Then,

KM^{2}=JK^{2}+JM^{2}    

18.24^{2}=13^{2}+8^{2}

18.24^{2}=169+64

18.24^{2}=233

By taking sqrt on both sides:

18.24≠ 15.264337522473748

18.2≠ 15.3  

Answer 2

Answer:

The answer is C

Step-by-step explanation: