Question

For the following right triangle, find the side length x . Round your answer to the nearest hundredth.

Answer 1

Answer:

14.97

Step-by-step explanation:

${p}^{2} + {b}^{2} = {h}^{2}$

${10}^{2} + {x}^{2} = {18}^{2}$

${x}^{2} = 324 - 100$

${x}^{2} = 224$

x = √224

x = 14.97

Hope it helps

Answer 2

Given: The following right triangle.

To find: The side length x. Round your answer to the nearest hundredth.

Solution:

When two sides of a right-angled triangle are given and one side is to be found, we can do so using the Pythagoras theorem. In the given triangle the base is x, the perpendicular is 10 and the hypotenuse is 18.

According to the Pythagoras Theorem, the following equation can be written.

$x^{2} = 18^{2} - 10^{2}$

$x = \sqrt{224}$

   $= 14.966629$

Since x needs to be rounded off to the nearest hundredth, the value of x can be written as follows.

$x = 14.97$

Therefore, the side length x is 14.97 units.