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 result:

k =  5.617 cm

Solution:

m=5 cm v1=4.5 cm K=70 ∘  m1=v1/tan⁡K∘=v1/tan⁡70∘ =4.5/tan⁡70∘ =4.5/2.747477=1.63787 m2=m−m1=5−1.6379≐3.3621 cm  k=v12+m22=4.52+3.36212=5.617 cmm=5 \ \text{cm} \ \\ v_{1}=4.5 \ \text{cm} \ \\ K=70 \ ^\circ \ \\ \ \\ m_{1}=v_{1} / \tan K ^\circ =v_{1} / \tan 70^\circ \ =4.5 / \tan 70^\circ \ =4.5 / 2.747477=1.63787 \ \\ 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 }=5.617 \ \text{cm}

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