Question

Consider the right triangle below:

the length of the missing leg, ac = ____ meters
round your answer to the nearest tenth

Answer 1

• 3.32

Solution:

In the given right angled triangle, we have :

• Base ( BC ) = 5
• Hypotenuse ( AB ) = 6
• Perpendicular ( AC ) = ?

Using Pythagoras theorem:

➙ H ² = B² + P ²

➙ AB² = BC² + AC²

➙ 6² = 5² + AC²

➙ AC² = 6² - 5²

➙ AC² = 36 - 25

➙ AC² = 11

➙ AC = √ 11

➙ AC = 3.32

➲ More information:

• According to Pythagoras theorem,In a right angled triangle, the square of the Hypotenuse is equal to the sum of square of base and Perpendicular.