3 If the area of a right triangle is 10 cm' and one of the legs is 4 cmn, find the length of the other leg ) A 2.5 cm B 5 cm 10 cm 20 cm

Respuesta :

the formula for the area of a triangle is

[tex]A=b\cdot\frac{h}{2}[/tex]

then if we have a right triangle it would look like this

in a right triangle the base and the heigth are represented by the legs

using the leg given and the area we can find the other leg

[tex]\begin{gathered} A=\frac{b\cdot h}{2} \\ 10=\frac{4\cdot x}{2} \\ 2\cdot10=4\cdot x \\ 4x=20 \\ x=\frac{20}{4} \\ x=5 \end{gathered}[/tex]

the length of the other leg is 5 cm.

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