Question

1. find the unknown side of the triangle below (round to the nearest tenth). 15 cm 14 cm 5.4 cm 16 cm 20.5 cm 210.5 cm

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 14\) and \(b=15\) and hypotenuse \(x\), the Pythagorean theorem is \(a^{2}+b^{2}=x^{2}\). So, \(x^{2}=14^{2}+15^{2}\).

Step2: Calculate \(14^{2}\) and \(15^{2}\)

\(14^{2}=196\) and \(15^{2}=225\). Then \(x^{2}=196 + 225=421\).

Step3: Solve for \(x\)

\(x=\sqrt{421}\approx20.5\) (rounded to the nearest tenth).

Answer:

20.5 cm