Scientific Notation and Pythagorean Theorem

Calculate the hypotenuse of a right-angled triangle with legs of length 3 and 4 using the Pythagorean theorem.

• 6

• 7

• 10

• 5

Express 0.000045 in scientific notation.

• 0.45 x 10^(-4)

• 4.5 x 10^(-6)

• 0.00045 x 10^(-4)

• 4.5 x 10^(-5)

If the legs of a right-angled triangle are 5 and 12, what is the length of the hypotenuse?

• 13

• 10

• 20

• 15

Write 6.25 x 10^4 in standard form.

• 62500

• 6.25 x 10^3

• 6250

• 625000

A ladder is leaning against a wall. If the ladder is 15 feet long and the base is 9 feet away from the wall, how high up the wall does the ladder reach?

• The ladder reaches 8 feet up the wall.

• The ladder reaches 10 feet up the wall.

• The ladder reaches 12 feet up the wall.

• The ladder reaches 14 feet up the wall.

Convert 2.3 x 10^7 to standard form.

• 23,000,000

• 2,300,000,000

• 23,000

• 2.3 x 10^7

A right-angled triangle has a hypotenuse of length 13 and one leg of length 5. What is the length of the other leg?

• 10

• 15

• 7

• 12

Express 900,000 in scientific notation.

• 9.0 x 10^5

• 900 x 10^3

• 0.9 x 10^6

• 9.00 x 10^5

If the legs of a right-angled triangle are 8 and 15, what is the length of the hypotenuse?

• 20

• 25

• 10

• 17

Calculate the value of (3 x 10^4) + (5 x 10^3) in scientific notation.

• 2 x 10^7

• 8 x 10^7

• 3.5 x 10^4

• 15 x 10^3