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15 cm and 8cm

Solved with the help of Pythagoras' theorem and the quadratic equation formula.

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Q: What are the lengths of the sides of a right angle triangle when the hypotenuse is 17 cm and one side is 7 cm shorter than the other side?
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A triangle has sides of lengths 6 2 and 7 is it a right triangle?

No. For a right angle triangle, the sum of the squares of the shorter sides equals the square of the longer side (the hypotenuse): 22 + 62 = 40 72 = 49


What are the lengths of the longer leg and the hypotenuse if the shorter leg is 10 on a 30-60-90 triangle?

The short side will be opposite the 30 degree angle. The longer leg is 10*sqrt(3) = 17.32 and the hypotenuse is 20.


What are the 3 basic trig ratios and how do they work?

The three basic ratios are sine, cosine and tangent.In a right angled triangle,the sine of an angle is the ratio of the lengths of the side opposite the angle and the hypotenuse;the cosine of an angle is the ratio of the lengths of the side adjacent to the angle and the hypotenuse;the tangent of an angle is the ratio of the lengths of the side opposite the angle and the the side adjacent to the angle.


What is the formula to find the hypotenuse of a triangle with two sides?

Providing that it is a right angle triangle then use Pythagoras; theorem:- a2+b2 = c2 where a and b are the lengths of the sides and c is the hypotenuse


How do you use sine in math?

The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.

Related questions

The law of cosine for angle are suited if are known?

In a right angle triangle if the lengths of the adjacent or the hypotenuse are known.


Where is pythagorean theorem used?

To find the side lengths and hypotenuse of a right angle triangle.


A triangle has sides of lengths 6 2 and 7 is it a right triangle?

No. For a right angle triangle, the sum of the squares of the shorter sides equals the square of the longer side (the hypotenuse): 22 + 62 = 40 72 = 49


How do you find the angle opposite of the hypotenuse of a triangle with all three sides known?

The only triangle that has a hypotenuse is a right-triangle. The hypotenuse is the side opposite the right angle, so the angle is always 90 degrees. In this case, if you're just finding the angle then you don't need to know what the side lengths are.


What is the ratios function of sin?

The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.


What are the lengths of the longer leg and the hypotenuse if the shorter leg is 10 on a 30-60-90 triangle?

The short side will be opposite the 30 degree angle. The longer leg is 10*sqrt(3) = 17.32 and the hypotenuse is 20.


What is the length of the hypotenuse and its smallest angle of a triangle whose other lengths are 2.34 cm and 1.64 cm?

If it has an hypotenuse then it must be a right angle triangle then by using Pythagoras' theorem its hypotenuse is 2.86 cm rounded and by using trigonometry its smallest angle is 35.02 degrees rounded.


What are the 3 basic trig ratios and how do they work?

The three basic ratios are sine, cosine and tangent.In a right angled triangle,the sine of an angle is the ratio of the lengths of the side opposite the angle and the hypotenuse;the cosine of an angle is the ratio of the lengths of the side adjacent to the angle and the hypotenuse;the tangent of an angle is the ratio of the lengths of the side opposite the angle and the the side adjacent to the angle.


What is the formula to find the hypotenuse of a triangle with two sides?

Providing that it is a right angle triangle then use Pythagoras; theorem:- a2+b2 = c2 where a and b are the lengths of the sides and c is the hypotenuse


What is the length of a hypotenuse?

A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.


How do you use sine in math?

The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.


How are the side lengths of a 30º60º90º triangle related?

It is a right angle triangle and the sum of its squared sides is equal to its squared hypotenuse in accordance with Pythagoras' theorem