**Key Takeaways**

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2, is used to find the length of any side of a right triangle.
- In a right triangle, one of the angles has a value of 90 degrees.
- The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

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## How do you find a side with only angles?

If you know two sides and the angle between them, use the cosine rule and plug in the values for the sides b, c, and the angle A. Next, solve for side a. Then use the angle value and the sine rule to solve for angle B. Finally, use your knowledge that the angles of all triangles add up to 180 degrees to find angle C.

## What is the ASA formula?

ASA formula is one of the criteria used to determine congruence. “if two angles of one triangle, and the side contained between these two angles, are respectively equal to two angles of another triangle and the side contained between them, then the two triangles will be congruent”.

## How do you find the side length of a triangle with only the angles?

Key Takeaways

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2, is used to find the length of any side of a right triangle.
- In a right triangle, one of the angles has a value of 90 degrees.
- The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

## How do you find the side lengths of a right triangle with only angles?

How do you solve a right angle triangle with only one side?

- If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle.
- Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.

## What is the HL Theorem?

What is the HL Postulate? The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

## How do you find a hypotenuse?

The hypotenuse is termed as the longest side of a right-angled triangle. To find the longest side we use the hypotenuse formula that can be easily driven from the Pythagoras theorem, (Hypotenuse)^{2} = (Base)^{2} + (Altitude)^{2}. Hypotenuse formula = √((base)^{2} + (height)^{2}) (or) c = √(a^{2} + b^{2}).

## Who was Sohcahtoa?

Sohcahtoa, Sohcahtoa. Her name means “she who climbs trees.” Sohcahtoa, Sohcahtoa. Sohcahtoa was always climbing trees, trying to get as high as she could, and her father would worry, not knowing how high she was. “Oh Sohcahtoa,” said Measures, “You look so small in that tree.