The trapezoid ABCD and the rectangle ABGE are shown in the figure below.
Given in cm:
AB = 5
BC = 5
GC = 3
Calculate the area of the rectangle ABGE.
The trapezoid ABCD and the rectangle ABGE are shown in the figure below.
Given in cm:
AB = 5
BC = 5
GC = 3
Calculate the area of the rectangle ABGE.
The area of triangle ABC is equal to 2X+16 cm².
Work out the value of X.
What is the area of the triangle in the drawing?
What is the area of the triangle in the figure?
ABCD is a right-angled trapezoid.
Given in cm:
AD = 10
DC = 8
Calculate the area of triangle ACD.
The trapezoid ABCD and the rectangle ABGE are shown in the figure below.
Given in cm:
AB = 5
BC = 5
GC = 3
Calculate the area of the rectangle ABGE.
Let's calculate side BG using the Pythagorean theorem:
We'll substitute the known data:
Now we can calculate the area of rectangle ABGE since we have the length and width:
20
The area of triangle ABC is equal to 2X+16 cm².
Work out the value of X.
The area of triangle ABC is equal to:
As we are given the area of the triangle, we can insert this data into BC in the formula:
We then multiply by 2 to eliminate the denominator:
Divide by:
We rewrite the numerator of the fraction:
We simplify to X + 8 and obtain the following:
We now focus on triangle ADC and by use of the Pythagorean theorem we should find X:
Inserting the existing data:
2 cm
What is the area of the triangle in the drawing?
There are two ways to solve the exercise:
It is possible to drop a height from one of the vertices, as we know
In an equilateral triangle, the height intersects the base,
This creates a right triangle whose two sides are 6 and 3,
Using the Pythagorean theorem
We can find the length of the missing side.
We convert the formula
Therefore, the height of the triangle is equal to:
From here we calculate with the usual formula for the area of a triangle.
Option B for the solution is through the formula for the area of an equilateral triangle:
Where X is one of the sides.
15.588
What is the area of the triangle in the figure?
cm²
ABCD is a right-angled trapezoid.
Given in cm:
AD = 10
DC = 8
Calculate the area of triangle ACD.
24
Look at the triangle in the figure.
AD is used to form a semicircle with a radius of 2.5 cm.
Calculate the area of the triangle ABC.
What is the area of the triangle ABC?
Express the area of the triangle ABC in terms of X.
Look at the triangle in the figure.
AD is used to form a semicircle with a radius of 2.5 cm.
Calculate the area of the triangle ABC.
cm².
What is the area of the triangle ABC?
cm².
Express the area of the triangle ABC in terms of X.