5-4 The Triangle Midsegment Theorem
5-4 The Triangle Midsegment Theorem
Find each measure.
1. JL
2. PM
3. m∠LNP
Holt Geometry
Holt Geometry
Indirect Proof and Inequalities
5-4 The Triangle Midsegment Theorem
4.
∆XYZ is the midsegment triangle of ∆WUV. What is the
perimeter of ∆XYZ?
5-5
5-4 The
Midsegment Theorem
in Triangle
One Triangle
5. In an indirect proof; If a > 0, then
What is the assumption that you must make to prove the
statement above?
4.5
4
6. In an indirect proof; A triangle cannot have two right ∠s.
What is the assumption that you must make to prove the
statement above?
Holt Geometry
Holt Geometry
Indirect Proof and Inequalities
Indirect Proof and Inequalities
5-5
5-4 The
Midsegment Theorem
in Triangle
One Triangle
5-5
5-4 The
Midsegment Theorem
in Triangle
One Triangle
7. Write the angles in order from smallest to largest.
8. Write the sides in order from shortest to longest.
Holt Geometry
Holt Geometry
Indirect Proof and Inequalities
Indirect Proof and Inequalities
5-5
5-4 The
Midsegment Theorem
in Triangle
One Triangle
5-5
5-4 The
Midsegment Theorem
in Triangle
One Triangle
9. Tell whether a triangle can have sides with the given lengths.
Explain.
7, 10, 19
Holt Geometry
Holt Geometry
5-4
5-7 The
The
Triangle
Pythagorean
Midsegment
Theorem
Theorem
5-4
5-7 The
The
Triangle
Pythagorean
Midsegment
Theorem
Theorem
The Pythagorean Theorem
The Pythagorean Theorem states the following relationship
between the sides of a right triangle.
Find the value of x. Give your answer in simplest radical form.
10.
hypotenuse
leg
11
34
x
3
a2 + b2 = c2
leg
Holt Geometry
Holt Geometry
5-4
5-7 The
The
Triangle
Pythagorean
Midsegment
Theorem
Theorem
A set of three nonzero whole numbers a, b, and c such
that a2 + b2 = c2 is called a Pythagorean triple.
5-4
5-7 The
The
Triangle
Pythagorean
Midsegment
Theorem
Theorem
Find the missing side length. Tell if the side lengths form a
Pythagorean triple. Explain.
11.
Holt Geometry
Holt Geometry
5-4
5-7 The
The
Triangle
Pythagorean
Midsegment
Theorem
Theorem
5-4
5-7 The
The
Triangle
Pythagorean
Midsegment
Theorem
Theorem
Tell if the measures can be the side lengths of a triangle. If so,classify
the triangle as acute, obtuse, or right.
12. 11, 18, 34
13. 3.8, 4.1, 5.2
14. 16, 34, 30
B
c
A
a
b
C
Holt Geometry
Holt Geometry
5-8
Applying
Special
Right Triangles
5-4 The
Triangle
Midsegment
Theorem
5-8
Applying
Special
Right Triangles
5-4 The
Triangle
Midsegment
Theorem
long leg
leg = leg
Holt Geometry
Holt Geometry
hypotenuse = 2 ileg
short leg
hypotenuse = 2 ishort leg
Holt Geometry
Holt Geometry
long leg = 3 ishort leg
5-8
Applying
Special
Right Triangles
5-4 The
Triangle
Midsegment
Theorem
Find the value of x. Give your answer in simplest radical
form.
15.
5-8
Applying
Special
Right Triangles
5-4 The
Triangle
Midsegment
Theorem
Find the values of x and y. Give your answers in simplest
radical form.
16.
y
30 o
x
10 3
Holt Geometry
Holt Geometry
5-8
Applying
Special
Right Triangles
5-4 The
Triangle
Midsegment
Theorem
Find the perimeter and area of each figure. Give your
answers in simplest radical form.
!
17. An equilateral triangle
with height 24 in.
Holt Geometry
Holt Geometry
Holt Geometry
Holt Geometry