Question

Find the length of side b in the right triangle below use the calculator to estimate the square root to one decimal place.

Answer 1

Answer:

b = 16.7

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side b

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

Substituting the values into the above formula we have

${19}^{2} = {9}^{2} + {b}^{2} \\ {b}^{2} = {19}^{2} - {9}^{2} \\ {b} = \sqrt{ {19}^{2} - {9}^{2} } \\ b = \sqrt{361 - 81} \\ b = \sqrt{280} \\ \: \: \: \: \: \: b = 2 \sqrt{70} \: \: \: \: \: \: \\ \: \: \: \: \: \: \: b = 16.73320$

We have the final answer as

b = 16.7 to one decimal place

Hope this helps you