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What are the characteristics of 45 45 90 triangle?

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What are the characteristics of 45 45 90 triangle?

45−45−90 refers to the angles of the triangle.

  • The sum of the angles is 180°
  • There are two equal angles , so this is an isosceles triangle.
  • It therefore also has two equal sides.
  • The third angle is 90° .
  • The sides are in the ratio 1:1:√2.

What is sin30 value?

The value of sin 30 degrees is 0.5.

What is the 30 60 90 Triangle Theorem?

In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg. To see why this is so, note that by the Converse of the Pythagorean Theorem, these values make the triangle a right triangle.

What theorem will you use to find the length of the hypotenuse of a 45 45 90?

the Pythagorean Theorem
Correct answer: 45/45/90 triangles are always isosceles. This means that two of the legs of the triangle are congruent. In the figure, it’s indicates which two sides are congruent. From here, we can find the length of the hypotenuse through the Pythagorean Theorem.

Which is a true statement about a 45 45 90 triangle apex?

Question: Which is a true statement about a 45-45-90 triangle? Each leg is times as long as the hypotenuse. The hypotenuse is times as long as either leg.

What is the value of cos 45 in trigonometry?

The value of cos 45° is equal to 1/√2.

What is the exact value of cot 45?

1
The exact value of cot(45°) cot ( 45 ° ) is 1 .

What is the formula for 45 45 90 triangle?

45 45 90 triangle sides. The legs of such a triangle are equal, the hypotenuse is calculated immediately from the equation c = a√2. If the hypotenuse value is given, the side length will be equal to a = c√2/2.

What are the properties of a 45 45 90 triangle?

The other interesting properties of the 45 45 90 triangles are: It’s the only possible right triangle that is also an isosceles triangle. It has the smallest ratio of the hypotenuse to the sum of the legs. It has the greatest ratio of the altitude from the hypotenuse to the sum of the legs.

What is true about the 45-45-90 triangle?

A 45-45-90 triangle is a special right triangle whose angles are 45º, 45º and 90º. The lengths of the sides of a 45º-45º-90º triangle are in the ratio of 1:1:√2 . The following diagram shows a 45-45-90 triangle and the ratio of its sides.

What is a rule for the 45-45-90 right triangle?

45 45 90 triangle rules and properties The most important rule is that this triangle has one right angle, and two other angles are equal to 45°. It implies that two sides – legs – are equal in length and the hypotenuse can be easily calculated.