Question

In right triangle JKL, m < J = 90 degrees and tan k = square root of five over 4. Find the length of the hypotenuse

Answer 1

The hypotenuse of the right triangle is √21 units.

How to find hypotenuse of a right triangle?

The hypotenuse of the right triangle can be found as follows;

Therefore, the hypotenuse can be found using Pythagoras theorem,

Hence,

c² = a² + b²

c² = √5² + 4²

c² = 5 + 16

c² = 21

square root both sides

c = √21

Hence, the hypotenuse of the right triangle is √21.

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