Isosceles Right Triangle

Find the hypotenuse length of a triangle given one side length (x=8cm)

• 4 cm

• 8√2 cm

• 16 cm

• √16 cm

Answer explanation

We know that the hypotenuse length of a right isosceles triangle is x √2 where x is a side length

Find the hypotenuse length of a right-angled triangle given one side length (x=50cm).

• 50√2 cm

• 5000 cm

• 2√5

• 50√2

Answer explanation

Both side lengths are congruent. The hypotenuse of a right isosceles is always x√2 where x is a side length.

You can have a maximum of 4 right isosceles triangles in a unit circle.

• True

• False

Answer explanation

A right isosceles triangle is always inscribed on a unit circle at points:

(√2/2,√2/2), (-√2/2,√2/2), (-√2/2,-√2/2) and (√2/2,-√2/2)

Using your knowledge of Right Isosceles triangles, try to find what x is.

• √4/2

• √1/2

• √8

• √2/4

Answer explanation

We know that sin(5π/4) = -√2/2. Since both the side lengths on a right isosceles triangle are congruent that means the cos(5π/4) is also -√2/2. x is simply half of that length so (-√2/2)/2

What type of special right triangle is this?

• Isoceles right

• 30-60-90

• not a special right triangle

What is the measure of side c?

• 7

• 14

How long is side c?

• 1

• 2

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

Find the value of x.

• 3 sqrt(2)

• 3

• 6 sqrt(2)

• 6