Question

in the triangle shown below, what is the approximate value of ( a )
a. 24.25 units
b. 14 units
c. 21 units
d. 31.30 units

Explanation:

Step1: Apply Pythagorean theorem

For right triangle: $x^2 + 14^2 = 25^2$

Step2: Calculate squared side values

$x^2 + 196 = 625$

Step3: Isolate $x^2$

$x^2 = 625 - 196 = 429$

Step4: Solve for $x$

$x = \sqrt{429} \approx 20.71$, closest to 21

Answer:

C. 21 units