Question

Isosceles triangle base length is 15 inches, it also has 2 congruent sides with 15 inches each. Find the height of the triangle.

Answer #1

Given Isosceles triangle base length is 15 inches, it also has 2 congruent sides with 15 inches each.

We can divide the Isosceles triangle into 2 right angled triangles whose hypotenuse is of length 15 inches, and base is the half of base length (15/2 = 7.5 inches),

Let the perpendicular is of length = h inches.

Using Pythagoras theorem:

then the height of the triangle = 13 inches(Approx).

Let 4ABC be an isosceles triangle, where the congruent
sides are
AB and AC. Let M and N denote points on AB and AC
respectively
such that AM ∼= AN. Let H denote the intersection point of MC
with
NB. Prove that the triangle 4MNH is isosceles

#2. An isosceles triangle has a base of 6 units, and an area of
36 square units. Find the dimensions of the largest rectangle that
can be placed inside the triangle, with one of the sides at the
base of the triangle.

An isosceles triangle has a base of 6 units and an area of 36 square units. Find the dimensions of the rectangle with the largest area that can be placed inside the triangle, with one of the sides at the base of the triangle.

An
isosceles triangle has a base of 6 units, and an area of 36 units
squared. Find the dimensions of the rectangle with the maximum area
that can be put into the triangle, with one of its sides in or at
the base of the triangle mentioned. (Optimization problem) Help!
thank you.

(b) The two vertices that form the non-congruent side of an
isosceles triangle are (−5, 2) and (2, 2). What are possible
coordinates of the other vertex?

write your complete solution using calculus
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a)Draw diagrams showing the individual electric forces from the
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