SOAR Geo | 8-1A The Pythagorean Theorem: missing hypotenuse

Multiple Choice

What type of triangle does the Pythagorean Theorem apply to?

• Right triangles ONLY

• Acute triangles ONLY

• Obtuse triangles ONLY

• Any type of triangle

Multiple Choice

What is the hypotenuse of a right triangle?

• The shortest side of the triangle.

• The side adjacent to the right angle.

• The longest side, opposite the right angle.

Hotspot

Which side of the right triangle is the hypotenuse?

Hotspot

Which side of the right triangle is the hypotenuse?

Hotspot

Which side of the right triangle is the hypotenuse?

Multiple Choice

What are the legs of a right triangle?

• The shortest side of the triangle.

• The sides adjacent to the right angle.

• The longest side, opposite the right angle.

Hotspot

Which sides of the right triangle are the legs?

Hotspot

Which sides of the right triangle are the legs?

Hotspot

Which sides of the right triangle are the legs?

Labelling

Label the sides of the right triangle.

Drag labels to their correct position on the image

short leg

long leg

hypotenuse

Multiple Choice

In the Pythagorean Theorem:

$$a^2+b^2=c^2$$

Which letter represents the hypotenuse?

• $$a$$ only

• $$b$$ only

• $$c$$ only

• Either $$a$$ or $$b$$

Multiple Choice

In the Pythagorean Theorem:

$$a^2+b^2=c^2$$

Which letter(s) represent the legs?

• $$a$$ only

• $$b$$ only

• $$c$$ only

• Both $$a$$ and $$b$$

Multiple Choice

Which is the correct way to substitute the side lengths into the Pythagorean Theorem?

• $$3^2+4^2=5^2$$

• $$3^2+5^2=4^2$$

• $$4^2+5^2=3^2$$

Multiple Choice

What's one of the main uses of the Pythagorean Theorem?

• To calculate the area of a triangle.
• To find the missing length of a side in a right triangle.

• To determine the angles in a triangle.
• To find the perimeter of a triangle.

Multiple Choice

What is the inverse operation of squaring a number?

• Cubing the number
• Adding the number to itself
• Taking the square root
• Subtracting the number from one

Hotspot

Which side is the hypotenuse?

Hotspot

Which sides are the legs?

Multiple Choice

Which is the correct way to substitute the side lengths into the Pythagorean Theorem?

$$a^2+b^2=c^2$$

• $$5^2+b^2=12^2$$

• $$a^2+12^2=5^2$$

• $$5^2+12^2=c^2$$

Draw

Use the Pythagorean Theorem to find the missing length of the hypotenuse.

Use the canvas to show your work & enter your answer on the next slide.

Math Response

What is the length of the hypotenuse?

Type answer here

Correct Answer: 13

Deg^°

Rad

Hotspot

Which side is the hypotenuse?

Hotspot

Which sides are the legs?

Multiple Choice

Which is the correct way to substitute the side lengths into the Pythagorean Theorem?

$$a^2+b^2=c^2$$

• $$2^2+b^2=6^2$$

• $$2^2+6^2=c^2$$

• $$a^2+6^2=2^2$$

Draw

Use the Pythagorean Theorem to find the missing length of the hypotenuse.

Use the canvas to show your work & enter your answer on the next slide.

Math Response

What is the length of the hypotenuse?

Give your answer as a square root.

Type answer here

Correct Answer: \sqrt{40}

Deg^°

Rad

Math Response

What is the length of the hypotenuse?

Give your answer as decimal rounded to the nearest tenth.

Type answer here

Correct Answer: 6.3

Deg^°

Rad