# 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.

Result

k =  5.617 cm

#### Solution:

$m = 5 \ cm \ \\ v_{ 1 } = 4.5 \ cm \ \\ K = 70 \ ^\circ \ \\ \ \\ m_{ 1 } = v_{ 1 } / \tan( (K \rightarrow rad) = v_{ 1 } / \tan( (K \cdot \ \dfrac{ \pi }{ 180 } \ ) = 1.6378660542 ) \ \\ m_{ 2 } = m - m_{ 1 } = 5 - 1.6379 \doteq 3.3621 \ cm \ \\ \ \\ k = \sqrt{ v_{ 1 }^2 + m_{ 2 }^2 } = \sqrt{ 4.5^2 + 3.3621^2 } \doteq 5.6173 = 5.617 \ \text { cm }$

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#### Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator. See also our trigonometric triangle calculator.

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