How Do You Find the Line of Symmetry for Isosceles Triangle ABC?

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The slope of 3y= 2x+ 12 is 2/3. The slope of any line perpendicular to that is -3/2. The line through (4, 37) with slope -3/2 is y= (-3/2)(x- 4)+ 37= (-3/2)x+ 6+ 37= (-3/2)x+ 43. Write that in standard form: (3/2)x+ y= 43.
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ABC is an isosceles triangle such that
AB=AC
A has coordinates (4,37)
B and C lie on the line with equation 3y=2x+12

Find an equation of the line of symmetry of triangle ABC Give your answer in the form px + qy = r where p,q and r
 
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:welcome:

I've requested that this be moved to homework. In any case, before we can help you need to show how much of the problem you can do yourself.
 
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mark123 said:
ABC is an isosceles triangle such that
AB=AC
A has coordinates (4,37)
B and C lie on the line with equation 3y=2x+12

Find an equation of the line of symmetry of triangle ABC Give your answer in the form px + qy = r where p,q and r
Thread moved to the Homework Help forums.

@mark123 -- please show your work on this problem so that we can then provide tutorial help. We are not allowed to help you until you show your work. Thank you.
 
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The line of symmetry of an isosceles triangle is always perpendicular to the base. Find the line through (4, 37) and perpendicular to 3y= 2x+ 12.
 

FAQ: How Do You Find the Line of Symmetry for Isosceles Triangle ABC?

What is an isosceles triangle?

An isosceles triangle is a type of triangle that has two sides of equal length. The remaining side is known as the base and the two equal sides are known as the legs.

How do you identify an isosceles triangle?

An isosceles triangle can be identified by its two equal sides and the two angles opposite those sides are also equal.

What are the properties of an isosceles triangle?

Some properties of an isosceles triangle include: having two equal sides, having two equal angles opposite the equal sides, having a base that is perpendicular to the equal sides, and having a line of symmetry through the vertex opposite the base.

What is the formula for finding the area of an isosceles triangle?

The formula for finding the area of an isosceles triangle is A = (1/2)bh, where A is the area, b is the base, and h is the height. The height can be found by using the Pythagorean theorem, where h = √(leg^2 - (base/2)^2).

What are some real-life examples of isosceles triangles?

Some real-life examples of isosceles triangles include the roofs of houses, the wings of airplanes, and the sails of sailboats. They can also be seen in the shapes of flags, road signs, and musical instruments such as the violin.

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