Answer:
√10 units / √5√2 units
Step-by-step explanation:
It is correct that the triangle is 45° , 45° and 90°
Given that,
height of triangle = √5
base of triangle = √5
To find,
hypotenuse of triangle
As it is a right angles triangle so
hypotenuse² = base² + height²
hypotenuse² = (√5)² +(√5)²
hypotenuse² = 2(√5)²
hypotenuse = √(2(√5)²)
hypotenuse = √5√2
So the length of the hypotenuse is √5√2
If you are wondering how to find the formula for 45 45 90 triangle hypotenuse, it is
a√2
where a is length of base/height
As,
a² + b² = c² => a² + a² = c² so c = √(2a²) = a√2
