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If one leg of the isosceles right triangle is 2 feet long find the length of the hypotenuse?
Wiki User
∙ 14y ago
Isosceles triangles have two sides which are the same length and two angles which are equal. So if your right triangle has one side of length 2 feet, which is not the hypotenuse, then the remaining side must also be 2 feet long. We know that the square of the length of the hypotenuse is equal to the squares of the other two sides. 2 squared is 4. So the squares of the two sides are 4 + 4 which equals 8. Now we just find the square root of 8, which is 2.8284... So the length of the hypotenuse is 2.83 Feet (to two decimal places). Or, In a right isosceles triangle, the two base angles equal 45°. Since the length leg is 2 ft, then the hypotenuse length would be equal to 2√2 or approximately to 2.83 ft.
sin 45° = leg/hypotenuse
hypotenuse = 2/sin 45°
hypotenuse = 2/(√2/2)
hypotenuse = 4/√2
hypotenuse = 4√2/2
hypotenuse = 2√2
°
Wiki User
∙ 14y ago
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What type of triangle has two equal sides and a right angle?
An Isosceles right triangle. If the length of either of the two sides is N then the hypotenuse is N times the square root of 2. an isosceles right triangle can not be an equilateral triangle since the hypotenuse can not be the same size as the other two sides..
To the nearest tenth what is the length of the hypotenuse of an isosceles right triangle with a leg of 12.1 inches?
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In an isosceles right triangle the hypotenuse is radical three and if the hypotenuse is 12 then what is the smaller leg of that triangle?
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What type of triangle has two equal sides and a right angle?
An Isosceles right triangle. If the length of either of the two sides is N then the hypotenuse is N times the square root of 2. an isosceles right triangle can not be an equilateral triangle since the hypotenuse can not be the same size as the other two sides..
What is hypotenuse in an isosceles triangle?
Only a right triangle has a hypotenuse. An isosceles triangle can be a right triangle but it doesn't have to be. If it's not, then it doesn't have a hypotenuse.
What is the length of the longest side in an isosceles right triangle?
The longest length would be the hypotenuse. You can use SOHCAHTOA to find the length.
What is the length of the hypotenuse in an isosceles right triangle if each side is 1 cm?
It is sqrt(2).
What is the length of each leg of an isosceles right triangle if the hypotenuse is the square root of 264?
11.489
To the nearest tenth what is the length of the hypotenuse of an isosceles right triangle with a leg of 12.1 inches?
Using Pythagoras' theorem the length of the hypotenuse is 17.1 inches
Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length?
square root of two.
What is the difference between an isosceles triangle and a right triangle?
In an isosceles triangle, two sides are of equal length. An isosceles triangle also has two congruent angles. An equilateral triangle is an isosceles triangle, but not all isosceles triangles are equilateral triangles. __________ A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one 90° internal angle (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. An isoceles triangle has TWO sides of equal length but and equilateral triangle has THREE sides of equal length.
