HG U5D1 Pythagorean Triples Oct7

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You’re locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 15 feet from the house.

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What kind of triangle is it?

Draggable item		Corresponding Item
		acute triangle
		right triangle
		obtuse triangle

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What kind of triangle is it?

Draggable item		Corresponding Item
		acute triangle
		right triangle
		obtuse triangle
		Penrose Triangle - Can be drawn, but does not exist.

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What kind of triangle is it?

Draggable item		Corresponding Item
a triangle with three acute angles.		acute triangle
a triangle with one 90 degree angles and two acute angles.		right triangle
a triangle with one angle greater than 90 degrees and two acute angles.		obtuse triangle
a triangle with a right angle, an obtuse angle and one acute angle.		Does not exist

What kind of triangle is it?

What kind of triangle is it?
The sides of a triangle are 60, 75 and 45. 
Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

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The length of the smallest side is _______ units.
The length of the largest side is _______ units.

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The sides of a triangle are 60, 75 and 45.

Fill in the blank with =, <, or >.

a2 + b2 _______ c2

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What kind of triangle is it?

What kind of triangle is it?
The sides of a triangle are 84, 50 and 38. 
Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

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The length of the smallest side is _______ units.
The length of the largest side is _______ units.

1

The sides of a triangle are 84, 50 and 38.

Fill in the blank with =, <, or >.

a2 + b2 _______ c2

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Use Pythagorean Triples as a short cut to the theorem.

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What is the length of the missing side?
a = _______ 

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What is the length of the missing side?
b = _______ 

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What is the length of the missing side?
c = _______ 

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Which of these triangles are definitely right triangles?
Explain to your neighbor how you know using a foreign language or accent.
(Note that not all triangles are drawn to scale.)

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A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.

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In each of the questions below, x and y represent the length of the legs of a right triangle, and z represents the length of its hypotenuse. Find the missing length, given the other two lengths.
a.  x = 12, y = 5, z = _______ 
b.  x = _______ , y = 21, z = 29
c.  x = 21, y = _______ , z = 35

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Given the information provided for the right triangles shown here, find the unknown leg lengths. Use the exact answer or round to the nearest tenth.
a = _______ 

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Given the information provided for the right triangles shown here, find the unknown leg lengths. Use the exact answer or round to the nearest tenth.
x = _______ 

HG U5D1 Pythagorean Triples Oct7

You’re locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 15 feet from the house.

What kind of triangle is it?

What kind of triangle is it?

What kind of triangle is it?

Which of these triangles are definitely right triangles?Explain to your neighbor how you know using a foreign language or accent.(Note that not all triangles are drawn to scale.)

A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.

You’re locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 15 feet from the house.

What kind of triangle is it?

What kind of triangle is it?

What kind of triangle is it?

What kind of triangle is it?The sides of a triangle are 60, 75 and 45.Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

What kind of triangle is it?The sides of a triangle are 84, 50 and 38.Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

Which of these triangles are definitely right triangles?Explain to your neighbor how you know using a foreign language or accent.(Note that not all triangles are drawn to scale.)

A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle? Explain your reasoning.

What kind of triangle is it?The sides of a triangle are 60, 75 and 45.Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

What kind of triangle is it?The sides of a triangle are 84, 50 and 38.Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

Which of these triangles are definitely right triangles?
Explain to your neighbor how you know using a foreign language or accent.
(Note that not all triangles are drawn to scale.)

What kind of triangle is it?
The sides of a triangle are 60, 75 and 45.
Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

What kind of triangle is it?
The sides of a triangle are 84, 50 and 38.
Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

Which of these triangles are definitely right triangles?
Explain to your neighbor how you know using a foreign language or accent.
(Note that not all triangles are drawn to scale.)

What kind of triangle is it?
The sides of a triangle are 60, 75 and 45.
Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

What kind of triangle is it?
The sides of a triangle are 84, 50 and 38.
Use Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.