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lidiya [134]
3 years ago
11

What is angle a? ive already gotten the other side

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

m\angle A=\tan^{-1}(\frac{m}{n})

AB=\sqrt{m^2+n^2}

Step-by-step explanation:

Given:

In Δ ABC

m∠C= 90°

BC=m

AC=n

For the triangle ABC we can apply trigonometric ratio to find m∠A.

We have:

\tan\angle A=\frac{BC}{AC}

Substituting values of side BC and AC

\tan \angle A=\frac{m}{n}

Taking inverse tan to get m∠A.

∴ m\angle A=\tan^{-1}(\frac{m}{n})

AB can be found out using Pythagorean theorem:

AB being the hypotenuse can be written as

AB^2=BC^2+AC^2

Substituting values of side BC and AC

AB^2=m^2+n^2

Taking square roots both sides:

\sqrt{AB^2}=\sqrt{m^2+n^2}

∴ AB=\sqrt{m^2+n^2}

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