Question

An isolates right triangle has a hypotenuse of 6. Find the

length of the leg. Round to the nearest tenth.

Answer 1

• Hypotenuse of the ∆ = 6
• Given that it is an isosceles right triangle.
• So, its opposite sides will be equal.
• Therefore, the height of the ∆ = the length of the leg of the ∆
• Let the length of the leg be x.
• In the right triangle,

`{x}^(2) + {x}^(2) = {6}^(2) \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^(2) = 36 \\ = > {x}^(2) = (36)/(2) \\ = > {x}^(2) = 18 \\ = > x = √(18) \\ = > x = √(2 * 3 * 3) \\ = > x = 3 √(2 ) \\ = > x = 4 .2`

Answer:

Answer:The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Answer 2

Check the picture below.