Question

1. a side view of a desk telephone is shown below. which of the following is closest to the value of x? a 2 cm b 10 cm c 20 cm d 6 cm

Explanation:

Step1: Apply Pythagorean theorem

Let the right - triangle have sides \(a\), \(b\), and hypotenuse \(c\). Here, \(a = x\), \(b=11 - 9.5=1.5\) cm, and \(c = 9.5\) cm. According to the Pythagorean theorem \(a=\sqrt{c^{2}-b^{2}}\).

Step2: Substitute values

\(x=\sqrt{9.5^{2}-1.5^{2}}=\sqrt{(9.5 + 1.5)(9.5 - 1.5)}=\sqrt{11\times8}=\sqrt{88}\approx 9.38\) cm.

Answer:

B. 10 cm