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Right triangle calculator

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.

Find two sides of a triangle ABC if hypotenuse c= $ 2 \sqrt{ 35 }$ .

solution

Shorter leg $ a = \sqrt{ 35 } $

Long leg $ b = \sqrt{ 105 } $

explanation

Step 1: Find short leg a

From the diagram above we can see that $ c = 2 \cdot a $. In this example we have:

$$ \begin{aligned} c &= 2 \cdot a \\[1.3 em] 2 \sqrt{ 35 } &= 2 \cdot a \\[1.3 em] a &= \dfrac{ 2 \sqrt{ 35 } }{ 2} \\[1.3 em] a &= \sqrt{ 35 } \end{aligned} $$

ID	Problem	Count
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48	Find the hypotenuse $ c $ of a right triangle if ???.	6
49	Find the hypotenuse $ c $ of a right triangle if leg $a = 2$ and leg $b = 2$.	6
50	Find the angle $ \beta $ of a right triangle if leg $a = 60$ and leg $b = 35$.	6

Right triangle calculator

Find two sides of a triangle ABC if hypotenuse c= $ 2 \sqrt{ 35 }$ .

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