Describe the error in finding the length of the hypotenuse.
the hypotenuse of a 45°-45°-90° triangle is equal to a leg multiplied by √2.(correct)

what is the length of the hypotenuse? write your answer in simplest form.
the length of the hypotenuse is units.

√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

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

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step-by-step explanation: