Question

lisa wants to draw a right triangle with leg lengths of 20 cm and 15 cm. what must the length of the hypotenuse be in order for lisa to draw a right triangle?
a 20 cm
b 25 cm
c 28 cm
d 400 cm

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 15\) and \(b = 20\).

Step2: Calculate \(a^{2}+b^{2}\)

\(15^{2}+20^{2}=225 + 400=625\).

Step3: Find the hypotenuse \(c\)

Since \(c^{2}=625\), then \(c=\sqrt{625}=25\).

Answer:

\(25\) cm (Option b)