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How do you find the height of an isosceles triangle when given only the three side lengths?
Wiki User
∙ 6y ago
Make it a right triangle where one side of the right triangle is half the length of the non-identical side of the isosceles, the hypotenuse of the right triangle is the length of one of the identical sides of the isosceles triangle, then use the Pythagorean theorem. a^2+b^2=c^2. Where "a" is the length of one of the identical sides, and "c" is the length of half the non-identical sides. Solve for "b" and that is your height.
Wiki User
∙ 6y ago
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Could 4 7 7 be side lengths of a triangle?
Yes and the given lengths would form an isosceles triangle.
What is The sum of any 2 sides of an isosceles triangle?
Depends from the given information. For example, if it is given the measure of the angle base θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to 2a = b/cos θ If it is given the measure of the angle base θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to 2a = 2h/sin θ If it is given the measure of the vertex angle θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to 2a = b/sin θ/2 If it is given the measure of the vertex angle θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to 2a = 2h/cos θ/2 If it is given the length measures of the base b and the height h, the sum of the sides a of the isosceles triangle equals to 2a = √(h4 + b2) (from the Pythagorean theorem)
How to solve for the base of isosceles triangle when only two sides are given?
You will also need the angles so that you can use the Isosceles Triangle Theorems to solve for the base of isosceles triangle when only two sides are given.
How do you find the lengths of the legs of an isoceles triangle when given the angle?
With only the angle provided, you cannot find the lengths of the sides. The reason for this is that the isosceles triangle can be scaled up or down. If you had an isosceles triangle with a vertex of, say, 20 degrees, the other two angles would be 80 degrees each. This triangle could be constructed with the pair of congruent sides 10 centimeters long, 10 feet long, 10 miles long, or any length, and it would still have the same angles in its construction. Angles alone are insufficient to discover the length of the sides of an isosceles triangle.
What kind of triangle have a 10 cm10 cm12 cm?
The dimensions given relate to an isosceles triangle
Could 4 7 7 be side lengths of a triangle?
Yes and the given lengths would form an isosceles triangle.
What is the actual size of an isosceles triangle?
That depends on the given information but an isosceles triangle has two equal side lengths and two equal interior angles.
How many triangles exist with the given side lengths 4m 4m 7m?
A triangle with two equal sides is an isosceles triangle and you can have as many as you like.
What is the height of an isosceles trapezoid if the bases are 8 and 12?
With the information given it can be any height greater than zero units. If the area was given, or the lengths of the equal sides were given, then the height can be calculated specifically.
How many triangles exist with the given side lengths 4 m 4 m 7 m?
Just the one and it will be an isosceles triangle
How many triangles exist with the given side lengths 4cm 4cm 7cm. Only one triangle No triangles or infinite triangles?
It is an isosceles triangle with 2 equal sides.
What is The sum of any 2 sides of an isosceles triangle?
Depends from the given information. For example, if it is given the measure of the angle base θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to 2a = b/cos θ If it is given the measure of the angle base θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to 2a = 2h/sin θ If it is given the measure of the vertex angle θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to 2a = b/sin θ/2 If it is given the measure of the vertex angle θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to 2a = 2h/cos θ/2 If it is given the length measures of the base b and the height h, the sum of the sides a of the isosceles triangle equals to 2a = √(h4 + b2) (from the Pythagorean theorem)
How to solve for the base of isosceles triangle when only two sides are given?
You will also need the angles so that you can use the Isosceles Triangle Theorems to solve for the base of isosceles triangle when only two sides are given.
How do you classify a triangle with 3 given side lengths?
That depends on what the side lengths are. Until the side lengths are known, the triangle can only be classified as a triangle.
How do you find the lengths of the legs of an isoceles triangle when given the angle?
With only the angle provided, you cannot find the lengths of the sides. The reason for this is that the isosceles triangle can be scaled up or down. If you had an isosceles triangle with a vertex of, say, 20 degrees, the other two angles would be 80 degrees each. This triangle could be constructed with the pair of congruent sides 10 centimeters long, 10 feet long, 10 miles long, or any length, and it would still have the same angles in its construction. Angles alone are insufficient to discover the length of the sides of an isosceles triangle.
How do you find the area of a triangle with side lengths?
If you are only given the side lengths of a scalene triangle, it is impossible for you to find for the area, unless you are given more information... like the height of the triangle for example. If this is a right triangle you would like to find the area of, you can multiply the length of each leg with each other, and then divide that product by 2 to conclude the area of the triangle.
What kind of triangle have a 10 cm10 cm12 cm?
The dimensions given relate to an isosceles triangle
