Euclid 5

Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height v_c = 5 cm.

Correct answer:

b =  7.14 cm
c =  10 cm

Step-by-step explanation:

$$\begin{gathered} c=c_1+c_2 \\ {c}_1^2=a^2-v^2 \\ {c}_1=\sqrt{7^2-5^2}=4.9cm \\ {v}^2=c_1{c}_2 \\ {c}_2=v^2\mathrm{/}{c}_1=5^2\mathrm{/}4.9=5.1cm \\ c=c_1+c_2=10\text{ cm } \\ {c}^2=a^2+b^2 \\ b=\sqrt{c^2-a^2}=7.14cm \end{gathered}$$

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