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Madeline Graves

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Q: Figure abc is rectangle. segment AB is 6cm long , segment BC is 8 cm long , and segment AC is 10 cm long. what is the area of triangle abc?
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The answer to this Lenny Conundrum is 358.In order to find the answer, you had to find the area of the green triangle (or really, any of the triangles). The only information provided is the area of the pentagon: 800 cm2. So first, you had to find the length of any one of the sides of the pentagon. To do this, you needed to know the appropriate formula:0.25 t2 * (25 + 10*(5)0.5)0.5When you completed the formula, you got a very long number (1.720477401 t2). Because the area of the pentagon is 800 cm2, t is 21.5635622735 centimeters.Then you needed to find the height of the triangle (since the base = t = 21.5635622735 cm). The following formula would have to be used to calculate the height:h = b* sin(72°)/sin(18°) = 0.5 * 21.5635622735 * sin(72°)/sin(18°) = 33.1829103Once you found the height, you simply had to plug it into a formula to find the area of a triangle: (base * height)/2. Completing that formula would give you the answer 357.77, which you had to round up to the nearest whole number: 358.


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Related questions

What is the base 6 and 10 height area?

If the figure is a rectangle, the area is 60. If the figure is a triangle, the area is 30.


Find the area of 6 base and 10 height?

If the figure is a rectangle, the area is 60. If the figure is a triangle, the area is 30.


How is a triangle and rectangle alike?

They are both polygon. If you cut a rectangle diagonally, you will have two triangles. And if you want to figure out the area of a right triangle, you can treat it as a rectangle and then cut your calculation in half to get the correct answer.


How do you find the area of a rectangle with a triangle attached to the side?

you split your shape in half, (The rectangle and the triangle), by putting a line through it and then calculate the area of the rectangle and then calculate the area of the triangle, half the area of the triangle then add the area of the triangle and the rectangle together!Then you should have your answer!


What is the area of a figure formed using a rectangle with a length of 13 kilometers and width of 7 kilometers and a triangle with a base of 14 kilometers and a height of 11 kilometers?

168 km². Area of rectangle = Length*Breadth = 13*7 = 91 km² Area of triangle = 1/2*Base*Height = 1/2*14*11 = 77 km² Area of figure = Area of rectangle + Area of triangle = 91+77 = 168 km²


What is the area of a figure formed using a rectangle with a length of 13 kilometers and a width of 7 kilometers and a triangle with a base of 14 kilometers and a height of 11 kilometers?

168 km². Area of rectangle = Length*Breadth = 13*7 = 91 km² Area of triangle = 1/2*Base*Height = 1/2*14*11 = 77 km² Area of figure = Area of rectangle + Area of triangle = 91+77 = 168 km²


What is always true about the area of a rectangle?

You can always find the area of a triangle - by dividing the length of the base by 2, then multiplying that figure by the height.


What is the relationship between the area of a triangle and a rectangle?

The relationship between the area of a triangle and a rectangle is a Triangle is base times height divided by 2. Area of a rectangle is length times height.


How is the triangle formula derived from the area of rectangles?

The area of a triangle is expressed using the formula A=(1/2)(bh) Where A is area Where B is length of the base of the triangle. Where H is the height of the triangle. The area of a rectangle is A=BH, Where B is the length of the base of the rectangle. Where H is the height of the rectangle. Because a triangle, essentially, is a half of a rectangle, you find the area of the whole rectangle that the triangle comes from, then divide that in half.


How is the area of a triangle related to the area of a rectangle?

It's half the area of a rectangle


Why is the area of the triangle half the base times the height?

Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.


What is the rectangle method in math?

The term "rectangle method" is used in different ways in math, but I will guess that your question is related to finding areas on a Geoboard. A Geoboard has a grid of pegs; you can make outlines of figures by stretching elastic bands around the pegs. If your figure is a triangle, you can find it's area by making the smallest rectangle which will enclose the triangle (The rectangle should have vertical and horizontal sides). The area of the rectangle can be found easily by multiplying the length by the width. The area of the triangle is half of the area of the rectangle.