Question

△BCD ​ is a right triangle. The length of the hypotenuse is 22 cm. The length of one of the legs is 18 cm.

What is the length of the other leg?

Enter your answer in the box as a decimal rounded to the nearest tenth.

Answer 1

Use the Pythagorean Theorem to solve for the missing leg.

a² + b² = c²   ; where "a" and "b" are the legs and "c" is the hypotenuse

18² + b² = 22²

        b² = 22² - 18²

        b² = 484 - 324

        b² = 160

        b = 40

Answer: 40 cm

Answer 2

The length of the outer leg is 40 cm.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

Here, Use the Pythagorean Theorem to solve for the missing leg.

a² + b² = c²  

where "a" and "b" are the legs and "c" is the hypotenuse

18² + b² = 22²

b² = 22² - 18²

b² = 484 - 324

b² = 160

b = 40

Hence, the length of the outer leg is 40 cm.

Learn more about Pythagoras theorem;

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