Question

The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
square root of 5
square root of 7

5

7

Answer 1

Answer:

square root of 7

Step-by-step explanation:

Each right angle triangle has 3 sides known as the opposite, adjacent and hypotenuse sides. The relationship between these 3 sides is as defined by pythagoras theorem which states that

a² + b² = c²

where a and b are the lengths of the opposite and adjacent sides (in no particular order) and c is the length of the hypotenuse side.

Given that the leg of a right triangle is 3 units and the hypotenuse is 4 units, it means that

a² + 3² = 4

where a is the length in units, of the other leg of the triangle

a² = 4² - 3

a² = 16 - 9

= 7

a = √7