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An A-frame tent is in the shape of an isosceles triangle The base of the triangle is 10 ft and the two congruent sides are each 8 ft What is the height?
Wiki User
∙ 13y ago
6.20 feet
Wiki User
∙ 13y ago
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How do you find the area of an isosceles triangle with a base of length 10 cm and congruent sides of length 13 cm?
Use Pythagoras to find the perpendicular height of the triangle: 132-52 = 144 and the square root of this is the height of the triangle which is 12 cm Area = 1/2*12*10 = 60 square cm
What is the vertical height of a triangle with an area of 48cm2 and a base length of 6cm?
assuming its an isosceles triangle, then its 16 cm high
How can you find the length of the 2 sides of an isosceles triangle when you know the base and the height?
By using Pythagoras' theorem.
How do you find the height of an isosceles triangle if its length is 12m and base 10m?
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
Prove theorem the height of an isosceles triangle is the median?
The theorem is only true if the base is the side of different length.To see this consider the right angled isosceles triangle with sides 1, 1 and √2. If one of the sides of length 1 is the base, the height is obviously the other side of length 1, but it clearly does not meet the base at its mid-point to make it a median.So with an isosceles triangle ABC with sides AB & AC equal, angles ABC & ACB equal and side BC the base, we need to prove that the point X where the height (AX) meets BC is such that BX = CX.Consider triangles AXB and AXC.Angle AXB is a right angle, as is AXC (since AX is a height of triangle ABC).Side AB is the hypotenuse of triangle AXB; AC is the hypotenuse of triangle AXC; they are known to be equal (from isosceles triangle ABC)Side AX is common to both trianglesThus triangles AXB and AXC are congruent since we have a Right-angle, Hypotenuse, Side match.Thus XB must be the same length as XC, that is X is the mid-point of BC.As X is the mid-point of BC, AX is the median.
When can one of the two congruent sides of an isosceles triangle can be used as the height of the triangle?
When it's a right triangle and it's sitting on one of the congruent sides.
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
When can one of the two congruent sides of an isosceles triangle be used as the height of the triangle?
When it has a 90 degree angle and 2 equal angles of 45 degrees
An A-frame tent is in the shape of an isosceles triangle An isosceles triangle has two equal sides The base of the triangle is 10 ft and the two congruent sides are each 8 ft What is the height?
Use Pythagoras' theorem: 82-52 = 39 and the square root of this is 6.244997998 or 6.245 feet in height to 3 d.p.
How do you find the base and height of an isosceles triangle?
An isosceles triangle has 2 equal base angles and its height is perpendicular from its apex to the centre of its base
What is the circumradius of an isosceles triangle?
To find the circumradius of an isosceles triangle, the formula is:1/8[(a^2/h)+4h]in which h is the height of the triangle and a is the base of the triangle.
The triangle at the right is an isosceles triangle. if?
legs Base and height are equal in langth
A tent is in the shape of an isosceles triangle The base of the triangle is 10 ft and the two congruent sides are each 8 ft What is the height?
Use pythagoras' therom: 82-52 = 39 and the square root of this is 6.244997998 height = 6.245 ft to 3 d.p.
If weRotation of a right angled triangle about its height what shape we will get?
An isosceles, possibly equilateral, triangle
Area of isosceles triangle?
Area of any triangle is: 0.5*base*perpendicular 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.
Area of isosceles tiangle?
The formula is: Area = base * height. With an isosceles triangle, two of the angles are congruent and their opposite sides are congruent. There is one remaining angle (that will be referred to as the top angle) and its opposite side (the base). You will probably have to drop a perpendicular line from the top angle to the base. This will bisect the base into two equal parts. Also, you now have two congruent right triangles. It depends on what you know with this triangle in order to find its height and/or base. However, use the Pythagorean Theorem and I'm sure you can work it out.
