##### Questions

##### Question type

Use these controls to find questions to answer

Featured 3 months ago

**Part(b)**

Let hypotenuse of the **lower triangle** be h . Then **the opposite** of **the adjacent** will be

For **upper triangle**

The hypotenuse

and opposite to

By the condition of part(b) of the given problem the perimeter of both the triangle (upper and lower) are same. So we can say that the sum of other two sides excluding common side will be same for both the triangles.

Hence

Now

Adding (1) and (2) we get

And

**Part-(a)**

By the given condition of **part (a)** of the question

**Area of the upper triangle = Area of the lower triangle**

Then

Featured 3 months ago

The coordinates of C are either (

This question took a lot longer to answer than I first anticipated!

There are two possible solutions for point C, both of which must lie on the line bisecting AB, as ABC is isosceles and all the points on this perpendicular line are equidistant from points A and B.

The mid-point of AB is straightforward enough:

AB has a slope of 6, because an increase of 1 on the

Now triangle ABC has an area of 12

The area

AB =

So with this value for

So point C must lie on one side or the other of AB, a distance of

In order to calculate the coordinates, we can imagine a right-angled triangle with a hypotenuse of length

From Pythagorus, we know that

So

Point

So

Point

So

Featured 1 month ago

Walking a straight line parallel to each side, the person will walk

At each corner the person must walk

For a total distance of

Featured 1 month ago

Given

Let

In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side and half its length.

Similarly,

Similarly,

Hence, perimeter of

side note :

These 4 congruent triangles are similar to

Featured 2 weeks ago

Some of the properties of a parallelogram:

a) Opposite sides are parallel.

b) Opposite sides are congruent.

c) Opposite angles are congruent.

d) The diagonals bisect each other,

The Midpoint Formula: The midpoint of two points,

First, let

Hence, the first coordinates of vertex

Then, let

So the second coordinates for vertex Y are

Hence, the two possible coordinates for vertex Y are

Featured 9 hours ago

Equation of

either

or

The slope of the line

Let the slope of other line be

As the slope of two lines is

As angle is

**either**

and then

and equation of line is

or

**or**

and then

and equation of line is

or

graph{((4sqrt3-2)y-(4+2sqrt3)x+5)((4sqrt3+2)y+(4-2sqrt3)x-5)(2y-x)=0 [-4, 4, -2, 2]}

Ask a question
Filters

Ã—

Use these controls to find questions to answer

Unanswered

Need double-checking

Practice problems

Conceptual questions