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How would you find the length of the hypotenuse of a right angle triangle when one side is 1.5 cm less than the other side and it has an area of 13.5 square cm?
Wiki User
∙ 12y ago
Use the area to find the lengths of the non-hypotenuse sides as one can be expressed in terms of the other giving one variable to be found.
Then use Pythagoras on them to find the hypotenuse.
That's how to do it, this is it being done:
Let the shortest side be x cm long. Then the other side is (x+1.5).
The area is:
13.5 = 1/2 x x x (x+1.5)
⇒ 27 = x2 + 1.5x
⇒ 2x2 + 3x - 54 = 0
⇒ (2x - 9)(x + 6) = 0
⇒ x = 4.5 or -6
As the length must be positive, x = 4.5, making the sides 4.5 cm and 6 cm
Using Pythagoras:
hypotenuse2 = 4.52 + 62
⇒ hypotenuse = 7.5 cm
Wiki User
∙ 12y ago
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In an isoceles triangle what is the length of the hypotenuse if 2 legs are 30?
If it is a right angle isosceles triangle then by using Pythagoras' theorem its hypotenuse is 30 times the square root of 2
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.
Why is the hypotenuse?
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
What is a right triangle with legs 10 and 4?
It is right angle with an hypotenuse of 2*square root of 29 in units of length
What is the hypotenuse if the legs are 39 and 80?
The hypotenuse of the right angle triangle is 89 units in length
How do you calculate the hypoteneuse?
If it's a right angle triangle then:- a2+b2 = c2 where 'c' is the hypotenuse and the square root of this is the length of the hypotenuse when 'a' and 'b' are the other sides of the right angle triangle.
Is it true the sine ratio relates the length of the leg the angle that is in question to the length of the hypotenuse?
Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.
How do you find the angle of a right triangle with the length of two legs?
-- Like every triangle, a right triangle has three interior angles.-- Unlike any other triangle, one of the angles in a right triangle is a right angle.The other two are both acute angles.-- One acute angle is the angle whose cosine is length of one leg / length of hypotenuse-- Other acute angle is the angle whose sine is length of the same leg / length of the hypotenuse-- The length of the hypotenuse is the square root of [ (length of one leg)2 + length of other leg)2 ]
In an isoceles triangle what is the length of the hypotenuse if 2 legs are 30?
If it is a right angle isosceles triangle then by using Pythagoras' theorem its hypotenuse is 30 times the square root of 2
In a right triangle the sine of any angle is?
The longest side of the right angles triangle is called the hypotenuse. Divide the length of the side opposite the chosen angle by the length of the hypotenuse. This is the Sine of the angle.
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.
Why is the hypotenuse?
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
What is a right triangle with legs 10 and 4?
It is right angle with an hypotenuse of 2*square root of 29 in units of length
In a right triangle the ratio of the length of the side opposite an acute angle to the length of the hypotenuse?
sin θ : 1 = the length of opposite side to angle θ : the length of the hypotenuse
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 is the hypotenuse if the legs are 39 and 80?
The hypotenuse of the right angle triangle is 89 units in length
