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Square root of 45.

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Q: What is the base of an isosceles triangle with leg 9 cm and height 6 cm?
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Find the length of a leg of an isosceles right triangle whose hypotenuse measures 8 radical 2?

the answer is 8


What is the length of the hypotenuse of an isosceles right triangle that has a leg length of 10cm?

For isosceles triangle both legs are the same, 10 cm. The hypotenuse is square root of sum of legs squared, = sqrt (10 squared + 10 squared) = 14.1 cm


What is the leg length of an isosceles right triangle with a hypotenuse of 32 inches?

Each leg length is 16 times square root of 2 or about 22,627 inches to 3 decimal places


The ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?

Starting with an equilateral triangle of side 2, dropping a perpendicular from one vertex to the opposite base creates two equal right angled triangles with hypotenuse of length 2, base length 1 and height of length √(22 - 12) = √3 which is the longer leg of the 30-60-90 triangle. Thus the ratio of longer_leg : hypotenuse is √3 : 2


The hypotenuse of a right triangle is 26 feet long one leg of the triangle is 14 feet longer than the other leg find the lengths of the legs of the triangle?

The hypotenuse of a right triangle is 26 feet long one leg of the triangle is 14 feet longer than the other leg find the lengths of the legs of the triangle? The best advise is to draw a right triangle with the base about twice as long as the height. Label the height x Label the base x+14 Label the hypotenuse 26 . Use Pythagorean Theorem Eq. #1..(Base)^2 + (Height)^2 = (Hypotenuse)^2 Substitute variables and length of hypotenuse into Eq. #1. (x)^2 + (x + 14)^2 = (26)^2 x^2 + x^2 +28x + 196 = 676 Combine like terms and move all to the left side. 2x^2 +28x - 480 = 0 This is a quadratic equation. Here is a web site for a quadratic equation solver. http://www.math.com/students/calculators/source/quadratic.htm I made a short cut to this site on my desk top, since I use it so often. I solved the quadratic by hand until I found this site. I do not need practice solving quadratic equations by hand. The 2 answers are 10 and -24. Well, I never saw a triangle with height = -24 feet long. Height = x = 10 ft. Base = x + 14 = 24 ft Check with Pythagorean Theorem 10^2 + 24^2 = 26^2 100 + 576 = 676 We're OK I find it interesting that though the -24 can not be used, thelong side = +24ft

Related questions

When can the leg of an isosceles triangle be used as the height of the triangle?

Yes if the isosceles triangle is a right isosceles triangle because that leg opposite the hypotenuse is the height


If the base of an isosceles triangle is 11 and the perimeter is 39 what is the length of a leg?

If the base of an isosceles triangle is 11 and its perimeter is 39, then it has a height of 12.87.


Isosceles triangle has a base of 12 and a leg length of 8. What is the height?

square root of 28


The side of an isosceles triangle that is not a leg is called?

The base.


What is the definition of leg of an isosceles triangle?

It is one of the two equivalent sides on the isosceles triangle.


What do you have to do to the area of a right angled triangle?

The area of a triangle is one half base times height. In the case of a right triangle, the base is one leg and the height is the other leg. (The two legs being separated by the right angle.)


In an isosceles trapezoid the longest base is 11 a leg is 5 and the height is 4 Find the length of the shorter base of the trapezoid?

ok


Who is the inventor of isosceles triangle?

The isosceles triangle wasn't invented. The word isosceles is from Late Latin and from Greek isoskelēs, from iso- + skelos leg.


Why is isosceles triangle?

The word "isosceles" comes from Greek roots and means "equal leg." An isosceles triangle has two sides of equal length.


What is the leg of an isosceles triangle?

Either of the two congruent sides of an isosceles triangle. See attached link for a picture.


What is the length of a leg of an isosceles right triangle if it is area is 72 square inches?

What is the length of a leg of an isosceles right triangle if it is area is 72 square inches?


If Each leg of an isosceles triangle is 9 inches longer than one half the length of the base. If the perimeter of the isosceles triangle is 146 inches what is the length of one leg of the isosceles t?

Let the base length be x:- If: 2(0.5x+9)+x = 146 => x+18+x = 146 => 2x = 146-18 => x = 64 Therefore the isosceles triangle has 2 equal sides of 41 inches and a base of 64 inches Check: 41+41+64 = 146 inches