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Given- right angle triangle which is divided by its height, forming two triangles. The aria of one is S II=30.533(cm^2) c(hypotenuse)=65 (cm) The legs of the triangle need to be calculated. diagram of the triangle

Idk123
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  • HINT: double area divided by hypothenuse gives the altitude. – Intelligenti pauca Mar 09 '20 at 20:38
  • From the given sketch
    $ \frac12 \cdot 65 \cos^2 \alpha \cdot 65 \sin \alpha \cos \alpha =S_2$ So this allows you to calculate $\alpha$.. Proportion all the other sides by similar triangles of trigonometry using ratio of sides relations.     – Narasimham Mar 09 '20 at 20:39

1 Answers1

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From your given sketch
$$ \frac12 \cdot 65 \cos \alpha \cdot 65 \sin \alpha =S12$$

So this allows you to calculate $\alpha$

Proportion all the other sides by similar triangles using trigonometric ratios.

Narasimham
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