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HG U5D1 Pythagorean Triples Oct7

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Last updated 12 months ago
21 questions
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Question 1
1.

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.

Question 2
2.

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Question 3
3.

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Question 4
4.

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What kind of triangle is it?
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What kind of triangle is it?
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Use Pythagorean Triples as a short cut to the theorem.
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Question 17
17.

Question 18
18.

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

Question 19
19.
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
Question 20
20.
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 = _______
Question 21
21.
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 = _______
What kind of triangle is it?
acute triangle
right triangle
obtuse triangle
What kind of triangle is it?
acute triangle
right triangle
obtuse triangle
Penrose Triangle - Can be drawn, but does not exist.
What kind of triangle is it?
a triangle with one 90 degree angles and two acute angles.
acute triangle
a triangle with one angle greater than 90 degrees and two acute angles.
right triangle
a triangle with a right angle, an obtuse angle and one acute angle.
obtuse triangle
a triangle with three acute angles.
Does not exist
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.
Question 5
5.
The length of the smallest side is _______ units.
The length of the largest side is _______ units.
Question 6
6.
The sides of a triangle are 60, 75 and 45.

The sum of the square of the two smaller sides =
= _______

The larger side squared =
=_______
Question 7
7.
The sides of a triangle are 60, 75 and 45.

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

a2 + b2 _______ c2
Question 8
8.

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.
Question 9
9.
The length of the smallest side is _______ units.
The length of the largest side is _______ units.
Question 10
10.
The sides of a triangle are 84, 50 and 38.

The sum of the square of the two smaller sides =
= _______

The larger side squared =
=_______
Question 11
11.
The sides of a triangle are 84, 50 and 38.

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

a2 + b2 _______ c2
Question 12
12.

Question 13
13.
What is the length of the missing side?
a = _______
Question 14
14.
What is the length of the missing side?
b = _______
Question 15
15.
What is the length of the missing side?
c = _______
Question 16
16.
What is the length of the missing side?
d = _______
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.
acute
rounded
obtuse
right
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.
obtuse
concave
right
acute