Triangles and the Pythagorean Theorem

Triangles and the Pythagorean Theorem

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the use of the Pythagorean theorem in solving problems involving isosceles triangles. It begins with a review of isosceles triangle properties and the basics of the Pythagorean theorem. The tutorial then demonstrates how to split an isosceles triangle into two congruent right triangles, allowing the use of the Pythagorean theorem to find missing side lengths. The process of calculating the height of a triangle using this method is also covered, emphasizing the importance of congruence and supplementary angles in solving these problems.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key characteristic of an isosceles triangle?

It has a right angle

All angles are equal

Two sides are equal

All sides are equal

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which type of triangle is the Pythagorean theorem applicable?

Scalene triangle

Right triangle

Isosceles triangle

Equilateral triangle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Pythagorean theorem state about the sides of a right triangle?

The sum of the angles is 180 degrees

The hypotenuse is the longest side

The sum of the squares of the legs equals the square of the hypotenuse

The triangle has two equal sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the hypotenuse in a right triangle?

The shortest side

The side opposite the smallest angle

The side adjacent to the right angle

The side opposite the right angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the angles in a right triangle?

They are all equal

They add up to 90 degrees

They add up to 180 degrees

They are complementary

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when a vertical line splits an isosceles triangle?

It forms two obtuse triangles

It forms two equilateral triangles

It forms two congruent right triangles

It forms two scalene triangles

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the vertical line in the isosceles triangle?

It creates two congruent triangles

It creates two right angles

It creates two equal sides

It creates two equal angles

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