Using the Pythagorean Theorem: Two triangles

Given the triangles in the drawing

What is the length of the side DB?

In this question, we will have to use the Pythagorean theorem twice.

A²+B²=C²

Let's start by finding side CB:

6²+CB²=(2√11)²

36+CB²=4*11

CB²=44-36

CB²=8

CB=√8

We will use the exact same way to find side DB:

2²+DB²=(√8)²

4+CB²=8

CB²=8-4

CB²=4

CB=√4=2

2 cm

Look at the triangles in the diagram.

Calculate the length of DC.

4 cm

Look at the triangles in the diagram below.

DBC is an isosceles triangle.

AB=13
AC=5

Calculate the length of the legs of triangle DBC.

$6\sqrt{2}$ cm

Look at the triangles in the figure.

Express the length DB in terms of X.

$\sqrt{32+x^2}$ cm