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When two sides of an isosceles triangle are 34 and the height is 30 what is the base's length?
Wiki User
∙ 15y ago
The length is 32. Since an isosceles triangle is symmetrical, the height divides it into two right triangles. The hypotenuse of one of these triangles is 34, one of the legs is 30 (the height), and the other leg is half of the base, which we'll call x. Using the Pythagorean Theorem, we know x^2+30^2=34^2, or x^2+900=1156. This gives us x^2=256, or x=16 (it could also be -16, but this is absurd because it's a length). We said x was half the base, so the base itself is 2x=2*16=32.
Wiki User
∙ 15y ago
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What is the leg of isosceles triangle if the base is 10 and area is 10?
An isosceles triangle is in effect two right angled triangles joined together and in this case they have bases of 5 units and heights of 2 units so use Pythagoras' theorem to find the hypotenuse which will be the length of one of the equal legs of the isosceles triangle:- 52+22 = 29 and the square of this is about 5.385164807 or 5.385 to 3 dp
How do you find the area of a compound figure with there is a trapezoid and a rectangle?
Work out each figure separately then add them together: Area of a trapezoid = 0.5*(sum of parallel bases)*height Area of a rectangle = length*height
Surface area prism?
2*Area of Bases + Perimeter of base*Length.
What is the area of a cylinder's base if the radius is r?
A cylinder is a tree-dimensional figure with two parallel bases bounded by congruent circles and a curved lateral surface that connects the circles. The height, h, of a cylinder is the length of any perpendicular segment drawn from a point on the base to the plane containing the other base. A cylinder is a right cylinder if the segment joining the centers of the bases is perpendicular to the planes of the bases. Otherwise, the cylinder is oblique. If a right cylinder has a height h and a base with radius r, then the lateral area L.A. is given by the formula: L.A. = 2(pi)(r)(h) The surface area S.A. is given by the formula: S.A. = L.A. + 2(pi)(r^2). Thus, the area of the cylinder's base is (pi)(r^2).
What is the formula for calculating the volume of a triangular prism?
The volume of a three-dimensional figure is the amount of space it encloses. The volume V of a triangular prism is the product of the area B of a base and the height h of the prism. (The bases are triangles. In a special case of a right triangular prism the bases are right triangles)
Can a congruent triangle have 2 same sides?
congruent means equivalent. An equilateral triangle has 3 of the same sides, not two. Isosceles triangles can have 2 or 3 of the same length sides. Congruent isosceles triangles are impossible.I agree with most of the above answer but not the last sentence. It is possible to have congruent isosceles triangles. If the legs (sides) of triangle 1 are the same length as the legs of triangle 2, and the bases (third side) of the two triangles are the same length then the two isosceles triangles will be congruent.So the answer to the question is: yes, a congruent triangle can have two same length sides.
The demension of a right trapezoid-shaped figure has bases of 28 inches and 16 inches and the slant height is 17 inches What is the lenght in inches of the height?
If you draw another altitude parallel to the height (the side which is perpendicular to the bases) of the trapezoid, you can see that a right triangle is formed.In this triangle the hypotenuse length is 17 in, and the base length equals to 28 - 16 = 12 in. From the Pythagorean theorem, height length = √(17 - 12) ≈ 12 in.Or find the measure of the angle (call it A) opposite to the height such as:cos A = 12/17A = cos-1 (12/17) ≈ 45⁰, which tells us that this right triangle is an isosceles triangle.Therefore, the height is (congruent with base) 12 inches long
Does triangular prism can have isosceles trianles as base?
Sometimes triangular prisms have isosceles triangle bases. It is the most common, but they don't always have isosceles triangles.
What is the leg of isosceles triangle if the base is 10 and area is 10?
An isosceles triangle is in effect two right angled triangles joined together and in this case they have bases of 5 units and heights of 2 units so use Pythagoras' theorem to find the hypotenuse which will be the length of one of the equal legs of the isosceles triangle:- 52+22 = 29 and the square of this is about 5.385164807 or 5.385 to 3 dp
Is the length of the diagonal side half the sum of the bases of an isosceles trapezoid?
No, it is not.
Is it possible for the bases of a trapezoid to be equal?
No its parallel bases can never be equal in length. But if it is in the form of an isosceles trapezoid then its slanted sides are equal in length.
If the bases of an asosceles trapazoid have length of 16 and 28 what is the length of the median?
22 mertes. And the trapezoid does not have to be isosceles.
If the bases of an isosceles trapezoid have lengths of 19 and 38 what is the length of the median?
28.5
What is the length of the median If the bases of an isosceles trapezoid have lengths of 19 and 38?
28.5
What is a net of a triangular pyramid?
An equilateral triangle with 3 equally sized isosceles triangles connected to it by their bases
If the bases of an isosceles trapezoid have lengths of 15 and 32 what is the length of the median?
23.5 Units
If the bases of an isosceles trapezoid have lengths of 22 and 29 what is the length of the median?
25.5 units
