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# Is there ever a case when hypotenuse is equal to leg one plus leg two?

Updated: 10/17/2022

Lvl 1
13y ago

No. If a,b,c are the legs of (any) triangle, then by the triangle inequality,

a + b > c

This is because the shortest distance between two fixed points is a straight line. If c is the hypotenuse, then the sum of the two legs must be strictly greater than c. However, for a right triangle, the sum of the *squares* of the two legs must be equal to the length of the *square* of the third side. For example, 3-4-5 is a right triangle, because 32 + 42 = 52.

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### Formula for finding length of the hypotenuse?

The side opposite the right triangle is the hypotenuse. The formula for finding the hypotenuse is A squared plus B squared equal C squared. C is the hypotenuse. If side A is 3 and side B is 4, the equation would read 9 plus 16 equal C squared, or 25 equals C squared. The square of 25 is 5, so the hypotenuse is 5.

### What is the peremeter of the right angled triangle?

The perimeter is equal to the sum of (leg-1) plus (leg-2) plus (hypotenuse).

### How do you work out the length of the hypotenuse?

In a right angle triangle the base squared (a) plus the height squared (b) is equal to the hypotenuse squared (c) Pythagoras' theorem: a2+b2 = c2

### What does the pythagorean theorem tell you?

In a right angle triangle the square of the hypotenuse is equal to height squared plus base squared

### Explain a squared plus b squared equal c squared?

The hypotenuse of a right angle triangle when squared is equal to the base squared plus the height squared and the formula is usually given as:- a2+b2 = c2 whereas a and b are the base and height respectively and c being the hypotenuse which is the largest side

### What is 3 plus 4 plus 5 is that a right angle?

One particular triangle with sides measuring 3, 4 and 5 units is a right angled triangle. Such a triangle meets with Pythagoras's Theorem "The square on the hypotenuse is equal to the sum of the squares on the other two sides." In this case, the hypotenuse measures 5 units. Then, 52 = 32 + 42 25 = 9 + 16 = 25

### What is the hypotenuse constant value for right Triangles with equal sides?

You mean a isoceles? An isoceles wouldn't have a right angle but would have 2 equal sides and 1 unequal in which case the values are x and x(root)2, In a right triangle the values are x , 2x , and x(root)3. The short side is x, and the long leg is 2x and the hypotenuse is x(root)3. If you are looking for the hypotenuse equation it is a(squared) + b(squared) = c(squared) in other words, leg one squared plus leg two squared equals hypotenuse squared.

### What is the pythagoorean theorem?

That a right angle triangle's base when squared plus its height when squared is equal to its hypotenuse when squared:- a2+b2 = c2

### What is pythagarous theorm?

That for any right angle triangle the length of its hypotenuse when squared is equal to the of length of the base when squared plus the length of the height when squared:- a2+b2 = c2 where a and b are the base and the height of the triangle and c is its hypotenuse.

### What is the hypotanuse of a triangle?

It's the longest side. If a and b are the shorter sides, the square root of a squared plus b squared will equal the length of the hypotenuse

### How can you find the base of a right triangle when you have the height and hypotenuse?

The square of the length of the base plus the square of the length of the height will equal the square of the length of the hypotenuse of your right triangle, per Pythagoras. Square the hypotenuse, subtract the square of the height, and then find the positive square root of that and you'll have the base of your right triangle.

no, never