Question

Special right triangles

Answer 1

Question #3: x = 5√2.

Question #4: x = 18.

Question #5: x = 16.

Question #6: x = 4.

Question #7: x = 2.

Question #8: x = 4√2.

Explanation:

All the special right triangles are 45-45-90 degrees.

We can use a special formula for 45-45-90 right triangles given as follows:-

Hypotenuse = √2 times Leg.

Question #3: Hypotenuse is x, Leg is 5.

So x = 5√2.

Question #4: Hypotenuse is x, Leg is 9√2.

So x = 9√2*√2 = 9*2 = 18.

Question #5: Hypotenuse is x, Leg is 8√2.

So x = 8√2*√2 = 8*2 = 16.

Question #6: Hypotenuse is 4√2, Leg is x.

So x√2 = 4√2

⇒ x = 4.

Question #7: Hypotenuse is 2√2, Leg is x.

So x√2 = 2√2

⇒ x = 2.

Question #8: Hypotenuse is 8, Leg is x. So x√2 = 8

⇒ x = 8/√2 = 4√2.