*

In one isosceles appropriate triangle, 2 sides equal

*
. Discover the size of next
*


*


*


*


*


Explanation:

This problem represents the an interpretation of the side lengths of one isosceles ideal triangle. By an interpretation the sides equal 

*
*
, and 
*
. However, if girlfriend did not remember this definition one can likewise find the length of the side using the Pythagorean theorem 
*
.

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

*

*

*

*


Explanation:

To find the length of the diagonal, given two sides of the square, we can create two equal triangles from the square. The diagonal heat splits the ideal angles the the square in half, producing two triangles through the angle of

*
,
*
, and
*
 degrees. This kind of triangle is a special ideal triangle, through the relationship between the side opposite the
*
 degree angles serving as x, and the next opposite the
*
 degree angle serving together
*
.

 

Appyling this, if us plug

*
 in for
*
 we acquire that the next opposite the ideal angle (aka the diagonal) is 
*


Report an Error

The area that a square is

*
. Uncover the size of the diagonal of the square.


Possible Answers:
Correct answer:

*


Explanation:

If the area of the square is

*
, we know that every side the the square is
*
, since the area of a square is 
*
.

Then, the diagonal line creates 2

*
special best triangles. Knowing that the political parties =
*
, us can uncover that the hypotenuse (aka diagonal) is 
*


Report one Error

*

An isosceles ideal triangle has a hypotenuse of 

*
. Find its area.


Possible Answers:

Not sufficient information come solve


Correct answer:

*


Explanation:

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

*
 triangles and their side lengths monitor a particular pattern that says that one have the right to calculate the size of the foot of an isoceles triangle by splitting the size of the hypotenuse by the square root of 2.

*

*

*

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

 

*

*

*

Now, transform to feet.

*


Report one Error

The base of a ideal isosceles triangle is 8 inches. The hypotenuse is no the base. What is the area that the triangle in inches?


Possible Answers:
Correct answer:

*


Explanation:

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

 

*


Report an Error

The hypotenuse of one isosceles ideal triangle has actually a measure of 

*
. Find its perimeter.


Possible Answers:

Not enough information to solve


Correct answer:

*


Explanation:

In bespeak to calculation the triangle"s perimeter, we require to find the lengths that its legs. One isosceles triangle is a unique triangle due to the worths of that angles. These triangles are described as 

*
 triangles and their next lengths monitor a specific pattern that claims that one deserve to calculate the size of the legs of one isoceles triangle by separating the length of the hypotenuse by the square source of 2.

*

*

*

Now we deserve to calculate the perimeter by doubling 

*
 and adding 
*
.

*

*

*


Report an Error

The next lengths of one isoceles best triangle measure 

*
. Uncover its perimeter.


Possible Answers:

Not enough information to solve


Correct answer:

*


Explanation:

An isosceles triangle is a distinct triangle due to the values of the angles. These triangles are referred to as 

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

*

*

*

Now we can calculate the perimeter by doubling 

*
 and adding 
*
.

*

*

*


Report one Error

A triangle has actually 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 two angles equal come

*
, it should be a
*
isosceles right triangle.

The pattern because that the political parties of a

*
is
*
.

Since two sides are equal come

*
, this triangle will have sides of
*
.

Add castle all together to gain

*
.


Report one Error

An isosceles triangle has a basic of 6 and a elevation of 4. What is the perimeter that the triangle?


Possible Answers:

None of these


Correct answer:

*


Explanation:

An isosceles triangle is usually two ideal triangles stuck together. The isosceles triangle has a basic of 6, which method that from the midpoint the the basic to one of the angles, the length is 3. Now, you have a right triangle with a basic of 3 and also a elevation of 4. The hypotenuse the this right triangle, which is one of the two congruent political parties of the isosceles triangle, is 5 units lengthy (according come the Pythagorean Theorem).

The complete perimeter will certainly be the length of the basic (6) plus the length of the hypotenuse that each appropriate triangle (5).

5 + 5 + 6 = 16


Report one Error

What is the area the a square that has actually a diagonal whose endpoints in the coordinate plane are located at (-8, 6) and also (2, -4)?


Possible Answers:

100√2


200√2


100


50


50√2


Correct answer:

100


Explanation:

*

*

*


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