Examples with solutions for Using the Pythagorean Theorem: Reverse use of theorem

Exercise #1

Is the triangle given in the diagram a right triangle?

999111111

Video Solution

Answer

Yes, it is.

Exercise #2

Which of the following triangles are right triangles according to the data?

444333555888777555777999333111888666101010ABCDE

Video Solution

Answer

A,C,D

Exercise #3

Determine which of the following triangles is obtuse, which is acute, and which is right angled:

999555888777131313777888777ABC

Video Solution

Answer

A - acute, B - obtuse,

C - right angled

Exercise #4

Given the slide of the graph

The length of the staircase 5 meters

Nicolas slides down the slide at a speed of 3 meters per second.

It takes 4 seconds to get from the top of the slide to the ground.

Does the slide and ladder form a right triangle with the ground?

555131313

Video Solution

Answer

Yes, the hypotenuse is the ground.

Exercise #5

Look at the triangle in the diagram below.

Is it a right triangle?

5X+4X+8

Video Solution

Answer

No, the angle is obtuse.

Exercise #6

Gerardo runs along a cliff as shown in the drawing.

Gerardo runs at a speed of X+7 meters per minute.

It takes Gerardo 10 minutes to climb the cliff.

Is the cliff a right triangle?

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Video Solution

Answer

Yes