Question

1. find the unknown side of the triangle below. 15 cm 12 cm 4 cm 9 cm 19 cm 3 cm

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Let the unknown side be \(a\), \(b = 12\) and \(c=15\). Then \(a^{2}=c^{2}-b^{2}\).

Step2: Substitute values

\(a^{2}=15^{2}-12^{2}\).
\(a^{2}=225 - 144\).

Step3: Calculate \(a^{2}\)

\(a^{2}=81\).

Step4: Find \(a\)

\(a=\sqrt{81}\).
\(a = 9\).

Answer:

\(9\mathrm{cm}\)