I suppose by "length of a triangles altitude" you mean height. The height of the triangle in question cannot be determined from the information given. In order to determine the height of the triangle, two dimensions must be known.
For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.
All triangles have an altitude. In fact they all have three of them. Whether or not they have an altitude, the important thing when trying to determine the length of the hypotenuse is what information you have on the lengths of the sides. Altitudes, medians can help determine the lengths of sides, as can angles. You need a minimum of 3 pieces of information. There is only one in the question: the fact that the triangle has a right angle.
In a isosceles triangle, the altitude is also a median. If we draw the altitude, then two congruent right triangles are formed, with hypotenuse length of 12m and base length 5 m (10/2). So the length of hypotenuse, by the Pythagorean theorem is h^2 = 12^2 - 5^2 h = √(144 - 25) h = √119 h ≈ 10.9
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
To find the area of a square or rectangle (a parallelogram is also a rectangle if two of the sides are a different length), you multiply length x width. Multiply 14 x 8 and you get 112.
The altitude to the base of an isosceles triangle bisects it forming two right angled triangles (which are congruent). In either of those right angled triangles, the altitude forms one leg and half the base of the original triangle forms the other. So, tan(26) = Alt/11 or Alt = 11*tan(26) inches = 5.365 inches.
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A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base? WRONG WRONG WRONG NO NO NO ::"::":""::":"""::"":":""::::::::::::: ::"::": ::":: :: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::"
A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
Use Pythagoras' theorem: 92-4.52 = 60.75 and the square root of this is the altitude which is 7.794 inches to 3 d.p.
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For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.
Using Pythagoras' theorem its height works out as 17.321 inches rounded to 3 decimal places
Measure the length of the 4 sides. If equal, you have an equilateral rectangle and can multiply length X width for the area. If not equal, then find the rectangle and measure as above, then measure the remaining 1 or 2 right triangles at the base and altitude, multiply, divide by half, and add all together.
The formula for the area (R) of a rectangle is R = length x width = 12 x 8 = 96 sq in.The formula for the area (T) of a triangle is T = 1/2 base x altitude (a)(or vertical height) Then 96 = 1/2 x 32 x a : 96 = 16a : therefore a = 6 inches.Answer : The altitude of the triangle = 6 inches
All triangles have an altitude. In fact they all have three of them. Whether or not they have an altitude, the important thing when trying to determine the length of the hypotenuse is what information you have on the lengths of the sides. Altitudes, medians can help determine the lengths of sides, as can angles. You need a minimum of 3 pieces of information. There is only one in the question: the fact that the triangle has a right angle.
A=l*w A=8*4 A=32 diagonal cuts the rectangle into two congruent triangles. 32/2 = 16