Using the Pythagorean Theorem: Two triangles

The Perimeter of a Triangle Worded problems Using variables In combination with the triangle area Isosceles triangle Applying the formula Mathematical space and motion problems Reverse use of theorem Using ratios for calculation Calculation using the diagonal Using Pythagoras' theorem Using additional geometric shapes

Question 1

Given the triangles in the drawing

What is the length of the side DB?

Question 2

Look at the triangles in the diagram.

Calculate the length of DC.

Question 3

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.

Question 4

Look at the triangles in the figure.

Express the length DB in terms of X.

Examples with solutions for Using the Pythagorean Theorem: Two triangles

Exercise #1

Given the triangles in the drawing

What is the length of the side DB?

Video Solution

Step-by-Step Solution

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

Answer

2 cm

Exercise #2

Look at the triangles in the diagram.

Calculate the length of DC.

Video Solution

Answer

4 cm

Exercise #3

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.

Video Solution

Answer

$6\sqrt{2}$ cm

Exercise #4

Look at the triangles in the figure.

Express the length DB in terms of X.

Video Solution

Answer

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