# Right Δ

A right triangle has the length of one leg 7 cm and length of the hypotenuse 25 cm. Calculate the height of the triangle.

Result

vc =  6.7 cm

#### Solution:

$a = 7 \ cm \ \\ c = 25 \ cm \ \\ b = \sqrt{ c^2-a^2 } = 24 \ cm \ \\ \ \\ S = S \ \\ \dfrac{1}{2} c v_c = \dfrac{1}{2} a b \ \\ c v_c = a b \ \\ c v_c = a v_c = \dfrac{a}{c} b = \dfrac{ 7}{ 25} \cdot 24 = 6.7 \ \text { cm }$

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

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Pythagorean theorem is the base for the right triangle calculator. Do you want to convert length units? See also our trigonometric triangle calculator.

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