KLM triangle

Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees.

Correct answer:

k =  5.6173 cm

Step-by-step explanation:

$$\begin{gathered} m=5\text{ cm } \\ {v}_1=4.5\text{ cm } \\ K=70\text{ ° } \\ {m}_1=v_1\mathrm{/}\tan K\mathrm{°}=v_1\mathrm{/}\tan 70\mathrm{°}=4.5\mathrm{/}\tan 70\mathrm{°}=4.5\mathrm{/}2.747477=1.63787\text{ cm } \\ {m}_2=m-m_1=5-1.6379\doteq 3.3621\text{ cm } \\ k=\sqrt{v_1^2+m_2^2}=\sqrt{4.5^2+3.3621^2}=5.6173\text{ cm} \end{gathered}$$

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