Pythagorean Theorem Determine Right Triangles

What is the formula for Pythagorean theorem?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Which statement is the MOST accurate about the converse of the Pythagorean Theorem?

• The converse is used to determine an unknown side length.

• The converse is only useful with right triangles

• The converse is used to determine if a triangle is or is not a right triangle

• The converse always works out that a²+b²=c²

Answer explanation

The Converse of the Pythagorean Theorem states:

IF
$a^2+b^2=c^2$
(where c is the longest side length)

THEN

The triangle is a right triangle.

What is the longest side of a right triangle called?

• Leg A

• Leg B

• Hypotenuse

• Pythagoras' Big Buddy

If the Pythagoras property holds, the triangle must be _____

• right angled

• acute angled

• obtuse angled

How far above the ground doe the ladder touch the building?

Mathematical Equivalence

ON

Which measurement is closest to the value of d in inches?​ (a)  

• 14.3 in.

• 6.3 in.

• 4.0 in.

• 19.8 in.

Use the right triangle above to determine the value of x ?

Mathematical Equivalence

ON

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

• yes

• no

Answer explanation

$6^2+8^2=10^2\ ?$
$36+64=100\ ?$
$100\ =\ 100$
This is true, so the side lengths do form a right triangle.