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=c2a2=24 cm  S=S 12cvc=12ab cvc=ab cvc=avc=acb=72524=6.7  cm 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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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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