The right triangle calculator finds the missing area, angle, leg, hypotenuse and height of a triangle. The calculator also provides steps on how to solve the most important right triangles: the 30-60-90 triangle and the 45-45-90 triangle.
solution
Shorter leg $ a = 75 $
Long leg $ b = 75 \sqrt{ 3 } $
explanation
Step 1: Find short leg a
From the diagram above we can see that $ c = 2 \cdot a $. In this example we have:
$$ \begin{aligned} c &= 2 \cdot a \\[1.3 em] 150 &= 2 \cdot a \\[1.3 em] a &= \dfrac{ 150 }{ 2} \\[1.3 em] a &= 75 \end{aligned} $$Step 2: Find long leg b
From the diagram above we can see that $ b = \sqrt{3} \cdot a $. In this example we have:
$$ b = \sqrt{3} \cdot 75 = 75 \sqrt{ 3 } $$