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Using Pythagoras' theorem

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Q: How do you find the hypotenuse of 45 45 90 right triangle?
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Related questions

Find the hypotenuse of a right triangle with legs of lengths 6 and 9?

45


A right triangle has legs with lengths of 25 cm and 37 cm - what is the length of the hypotenuse?

This right triangle has a hypotenuse of: 44.65 cmFor A+ its 45


Do all triangles have 2 legs and one hypotenuse EXPLAIN?

Nope. The hypotenuse is defined as the side of a right triangle opposite the right angle. a 45 - 45 -90 right triangle would, for instance, have two legs and a hypotenuse. However an equilateral triangle would not.


When does right-angle triangle have least hypotenuse?

When it is an isosceles right angled triangle: with angles that are 90-45-45.


How do you find the length of the sides of a right triangle when you know the hypotenuse?

If it is a 45-45-90 triangle, then divide the hypotenuse by the square root of 2. If it is a 30-60-90 triangle, then the shorter leg would be the hypotenuse divided by 2. And the longer leg would be the the shorter leg multiplied by the square root of 3.


Which isosceles triangle has a base that is also the hypotenuse of a right triangle?

It is a triangle whose interior angles are 45, 45 and 90 degrees


How do you find the perimiter of a 45-45-90 triangle algabra way?

leg+leg+hypotenuseThe legs are the two sides connected to the right angle(90). In a 45-45-90 triangle, the legs are the same length. The hypotenuse is the one not connected to the right angle (90). leg squared+ leg squared= hypotenuse squared.Add all the sides together.


What is a 45 45 90 triangle with a hypotenuse of 24?

It would be an isosceles right triangle. The two sides that aren't the hypotenuse are equal, with lengths of 16.971 (rounded) .


In a right triangle when you draw an altitude to the hypotenuse are the triangles ever similar?

Only if the angles of the triangle are 90, 45, and 45.


Does a right-angled triangle have any symmetery?

If it is a 45-45-90 triangle, it will have symmetry from the 90 degree angle to the midpoint of the hypotenuse.


Approximate to the nearest thousandth of a centimeter the length of the hypotenuse of a right triangle with legs of 3 centimeters each?

If both legs of a right triangle are the same, then it forms what is known as a "45-45-90 triangle". In this type of triangle, the hypotenuse is always √2 times more than the legs. So in this problem, with legs 3cm and 3cm, the hypotenuse is 3√2cm, or 4.243cm


If you have a 45-45-90 triangle with a hypotenuse of 16 root 2 how do you find the other sides?

The other sides are both 16. This is because in a 45-45-90 triangle the legs are congruent because of the isosceles triangle theorem, and also the hypotenuse of the triangle is equal to the leg times root 2. That is because of the 45-45-90 triangle theorem. So in a summary the legs are congruent and the hypotenuse is equal to the leg times root 2.


45 degree right triangle with a base of 16 feet 6 34 inches how long is the hypotenuse?

A 45 degree right triangle with a base of 16 feet 6 3/4 inches has a hypotenuse of: 23.69 inches.


In any 45-45-90 triangle the length of the hypotenuse is times the length of a leg.?

False because in any right angle triangle Pythagoras' theorem states that a^2 +b^2 = c^2 whereas 'a' and 'b' being the legs of the triangle with 'c' as its hypotenuse


How do you find the length of two legs of a 45-45-90 triangle if you only have the hypotenuse?

Since for any right triangle a^2 + b^2 = c^2 and in your case a = b so 2 a^2 = c^2 where c is the hypotenuse.


How do you find angles on a right triangle?

You do not need to, if you have a right triangle that angle is 90* so the other 2 angles are 45* apiece. That is actually only partially accurate. There can be a right angled triangle with sides of 2-3-5. 5 being the hypotenuse in which the triangle's angles will not be 90-45-45 but 90-33.69-56.31. To find the angles of a right triangle, you will need to know the length of the sides. With the length of all three sides, you will need to utilize sine, cosine, and tangent to find the angles.


How many lines of symmetry in right angled triangle?

For a right isosceles triangle (45-45-90), there is one line of symmetry that bisects the hypotenuse. For all other right triangles, there are zero lines of symmetry.


Can you show how a right triangle has one line of symmetry?

the only way for a right triangle to have a line of symmetry, is if the legs of the triangle are congruent. Or you can show that both non-right angles are congruent (45 degrees). you may also prove that the altitude of the triangle bisects the hypotenuse or that it equals 1/2 of the hypotenuse.


How do you find the hypoteneuse of an isosceles right triangle?

It is very unlikely for a right angle triangle to be isosceles, however it is possible if the angles are 90, 45, and 45 degrees. It does not matter if the triangle is isosceles, this method works for all right triangles. The following formula is your answer, when h=hypotenuse, and a and b are other two sides. a2 + b2 = h2


What is the area of the hypotenuse of a right triangle whose legs measure 45 cm and 60 cm?

The length of the hypotenuse of a right triangle whose legs measure 45 cm and 60 cm is: 75 cmThe area of the triangle is 1,350 cm2


Why do you need sqrt 2 to divide the hypotenuse of a 45-45-90 triangle?

A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x


What is the length of the hypotenuse of a right triangle whose legs measure 45 cm and 60 cm?

75cm Use Pythagoras' theorem to find the answer.


What is the hypotenuse of a right triangle with a side of 12.5 and an angle of 45?

Because its got an angle of 45 then both sides will be 12.5 so use Pythagoras' theorem to find the hypotenuse: 12.52+12.52 = 312.5 and the square root of this is the length of the hypotenuse which is 17.678 units rounded to 3 decimal places


Can a right triangle also be a isocleles triangle?

Yes, an isosceles right triangle will have angles 45-45-90 As a side note, the ratio between the hypotenuse and the sides will always be s: s * √2 where "s" is the length of one of the sides of the isosceles right triangle.


What is the 45 45 90 triangle theorem?

The formula for a 45-45-90 triangle is that both of the legs are n. The hypotenuse is n√2