How do you find the sides of a right triangle with only the hypotenuse?

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

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

What is the length of the hypotenuse of a right triangle with legs of length 9 and 12?

The length of the hypotenuse is 15 feet.

How do you find the measure of an acute angle?

When you line up the bottom line of the protractor on one of the angle lines and put the hole that is in the center bottom of the protractor on the corner of the angle, you can find the measure of the angle. Any measure less than 90° is an acute angle.

How much is an acute angle measure?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees.

How do you find the length of the hypotenuse in a triangle?

Right Triangles and the Pythagorean Theorem

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2. The side opposite the right angle is called the hypotenuse (side c in the figure).

How do you find the length of the hypotenuse of a triangle?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

What is the hypotenuse of a right triangle?

In a right triangle, the side that is opposite of the 90° angle is the longest side of the triangle, and is called the hypotenuse. The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides. Their angles are also typically referred to using

What is the sum of the acute angles in the triangle?

Solve the right triangle shown below. Give the lengths to the nearest tenth. The acute angles are complementary, which means their sum is 90°. Since , it follows that . You can use the definition of sine to find x. Use your calculator to find the value of and the triangle to set up the ratio on the right.

How do you find the length of the hypotenuse of an angle?

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

How to find the length of the right triangle side lengths?

Given angle and hypotenuse; Apply the law of sines or trigonometry to find the right triangle side lengths: a = c * sin(α) or a = c * cos(β) b = c * sin(β) or b = c * cos(α) Given angle and one leg; Find the missing leg using trigonometric functions: a = b * tan(α) b = a * tan(β) Given area and one leg