*

In an isosceles ideal triangle, two sides same

*
. Uncover the length of side
*


*


*


*


*


Explanation:

This problem represents the meaning of the side lengths of one isosceles right triangle. By an interpretation the political parties equal 

*
*
, and 
*
. However, if girlfriend did no remember this meaning one can also find the length of the side making use of the Pythagorean theorem 
*
.

You are watching: Does the pythagorean theorem work on isosceles triangles

*

*

*

*


Explanation:

To find the size of the diagonal, given two political parties of the square, we can create two equal triangles indigenous the square. The diagonal line splits the right angles of the square in half, developing two triangles through the angle of

*
,
*
, and also
*
 degrees. This kind of triangle is a special appropriate triangle, with the relationship between the next opposite the
*
 degree angle serving as x, and the next opposite the
*
 degree edge serving as
*
.

 

Appyling this, if us plug

*
 in because that
*
 we obtain that the next opposite the ideal angle (aka the diagonal) is 
*


Report an Error

The area the a square is

*
. Find the length of the diagonal of the square.


Possible Answers:
Correct answer:

*


Explanation:

If the area of the square is

*
, we recognize that each side that the square is
*
, because the area that a square is 
*
.

Then, the diagonal creates 2

*
special appropriate triangles. Discovering that the sides =
*
, us can discover that the hypotenuse (aka diagonal) is 
*


Report one Error

*

An isosceles ideal triangle has a hypotenuse of 

*
. Discover its area.


Possible Answers:

Not sufficient information to solve


Correct answer:

*


Explanation:

In stimulate to calculation the triangle"s area, we need to discover the lengths the its legs. An isosceles triangle is a one-of-a-kind triangle because of the values of the angles. This triangles are described as 

*
 triangles and also their side lengths follow a specific pattern that states that one can calculate the length of the foot of one isoceles triangle by separating the size of the hypotenuse by the square root of 2.

*

*

*

Now we have the right to calculate the area utilizing the formula

 

*

*

*

Now, transform to feet.

*


Report an Error

The base of a best isosceles triangle is 8 inches. The hypotenuse is not the base. What is the area the the triangle in inches?


Possible Answers:
Correct answer:

*


Explanation:

To discover the area of a triangle, main point the base by the height, then divide by 2. Since the quick legs of an isosceles triangle are the exact same length, we require to understand only one to understand the other. Since, a short side serves together the base of the triangle, the other brief side tells united state the height.

 

*


Report an Error

The hypotenuse of an isosceles right triangle has a measure up of 

*
. Uncover its perimeter.


Possible Answers:

Not enough information to solve


Correct answer:

*


Explanation:

In stimulate to calculation the triangle"s perimeter, we need to find the lengths the its legs. An isosceles triangle is a one-of-a-kind triangle due to the worths of that is angles. This triangles are referred to as 

*
 triangles and also their side lengths follow a particular pattern that states that one can calculate the size of the foot of an isoceles triangle by splitting the length of the hypotenuse through the square source of 2.

*

*

*

Now we deserve to calculate the perimeter by doubling 

*
 and adding 
*
.

*

*

*


Report an Error

The next lengths of an isoceles right triangle measure 

*
. Find its perimeter.


Possible Answers:

Not enough information to solve


Correct answer:

*


Explanation:

An isosceles triangle is a special triangle due to the worths of the angles. This triangles are described as 

*
 triangles and their next lenghts follow a specific pattern that states you can calculate the length of the hypotenuse of one isoceles triangle by multiplying the size of one of the legs by the square root of 2.

*

*

*

Now we deserve to calculate the perimeter by doubling 

*
 and adding 
*
.

*

*

*


Report one Error

A triangle has two angle equal come

*
and two sides same to
*
. What is the perimeter the this triangle?


Possible Answers:
Correct answer:

*


Explanation:

When a triangle has actually two angles equal to

*
, it have to be a
*
isosceles right triangle.

The pattern because that the sides of a

*
is
*
.

Since two sides are equal to

*
, this triangle will have sides the
*
.

Add lock all with each other to acquire

*
.


Report an Error

An isosceles triangle has actually a base of 6 and also a height of 4. What is the perimeter the the triangle?


Possible Answers:

None that these


Correct answer:

*


Explanation:

An isosceles triangle is usually two appropriate triangles grounding together. The isosceles triangle has a basic of 6, which method that indigenous the midpoint that the base to among the angles, the size is 3. Now, you have actually a right triangle v a base of 3 and a elevation of 4. The hypotenuse that this ideal triangle, which is just one of the 2 congruent sides of the isosceles triangle, is 5 units lengthy (according to the Pythagorean Theorem).

See more: Where Is The Orphanage In Fable 3, For Those Who Can'T Find The Orphanage

The total perimeter will certainly be the length of the base (6) add to the size of the hypotenuse the each appropriate triangle (5).

5 + 5 + 6 = 16


Report one Error

What is the area that a square that has a diagonal who endpoints in the coordinate aircraft are situated at (-8, 6) and also (2, -4)?


Possible Answers:

100√2


200√2


100


50


50√2


Correct answer:

100


Explanation:

*

*

*


Report an Error
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