How do you find the length of the red line segment inside the cube?
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Transcript of How do you find the length of the red line segment inside the cube?
How do you find the length of the red line segment inside the cube?
5 in
In this lesson you will learn how to apply the Pythagorean Theorem to three dimensional
figures by creating right triangles.
Let’s ReviewLet’s Review
Pythagorean Theorem
a2 + b2 = c2
a
b
c
leg2 + leg2 = hypotenuse2
leg
leg hypotenuse
Let’s ReviewLet’s Review
LengthWidthHeight
Edge
Let’s ReviewA Common Mistake
x
y3 ft
7 ft
6 ft
Let’s ReviewCore Lesson
5 in
5 in
leg2 + leg2 = hypotenuse2
52 + 52 = x2
50 = x2
=
7.1 = x
5 in
7.1 in
5 in
25 + 25 = x2
Let’s ReviewCore Lesson leg2 + leg2 = hypotenuse2
5 in
7.1 in
52 + 7.12 = x2
25 + 50.4 = x2
75.4 = x2
=
8.68… = x
x
8.7 = x
In this lesson you have learned how to apply the Pythagorean Theorem to three dimensional
figures by creating right triangles.
Let’s ReviewGuided Practice Find the length of the red line segment inside the rectangular prism.
3 ft7 ft
4 ft
Let’s ReviewExtension Activities
Find the value of x in the diagram below.
x
8 ft
4 ft
3 ft
Let’s ReviewExtension Activities
Find the length of the red line segment inside the cube.
8 cm
Let’s ReviewExtension ActivitiesFind the length of the red line segment inside the rectangular prism.
3 ft
10 ft
2 ft
Let’s ReviewQuick QuizFind the length of the line segment inside the rectangular prism.
4 ft9 ft
6 ft
Let’s ReviewQuick QuizFind the length of the red line segment inside the cube.
4 cm