# Rectangle diagonal

The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm2.

Result

S =  30 cm2

#### Solution:

$a=5 \ \text{cm} \ \\ u=13 \ \text{cm} \ \\ \ \\ b=\sqrt{ u^2-a^2 }=\sqrt{ 13^2-5^2 }=12 \ \text{cm} \ \\ \ \\ S=\dfrac{ a \cdot \ b }{ 2 }=\dfrac{ 5 \cdot \ 12 }{ 2 }=30 \ \text{cm}^2$

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Pythagorean theorem is the base for the right triangle calculator.

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