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If these are the legs and not the hypotenuse, the area is 48 square units.

A = 1/2 Base x Height

A = 1/2 (8 x 12)

If the 12 unit leg is the hypotenuse then the third side is sqrt (144 - 64) ie sqrt 80. Call that side the altitude then base is the 8 side and area is 4 x sqrt 80 or 4 x (sqrt 16 x sqrt 5) ie 16 x sqrt 5 = 35.78 square units

Q: If the two legs of a right triangle are 8 and 12 units long what is the triangle's area?

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An infinite number. All you need is any right triangle where the product of the lengths of the two legs is 40.

No. When we say triangles are similar we mean that they are the same shape. So a triangle could have the same shape but be double the size. It would then have an area 4 times the original triangle.Example: a right angled triangle with sides 3, 4 and 5 cm would be similar to a right angled triangle with sides 6,8 and 10 cm. The area of the first triangle would be (3x4)/2=6sq cm, while the area of the latter would be (6x8)/2+24 sq cm.When triangles are identical they are called "congruent". They are the same shape and size and the same area.The formula to calculate the area of a triangle is half(basexheight) or bh/2. Triangles of the same area do not have to be similar. It is just necessary that the product of the base and the height are the same. So a triangle with a base of 4 and a height of 3cm would have the same area area as a triangle with a base of 1 and a height of 12cm.No. Long thin triangles can have the same area as short fat ones but they will not be similar just as two rectangles may have the same area but different proportions.Example:A rectangle 4 * 6 units has an area of 24 square units, so does a rectangle that is 2 * 12 units.Now the cut these rectangles in half, corner to diametrically opposite corner and you have triangles. The one 6 units long and 4 units high and the other 12 units long by 2 units. These have the same area (the both are 12 square units) but are not similar.

Yes. For example, one triangle could have a base of 4 units, and a height of 1 unit, which means it would have an area of 2 square units. A different triangle could have a base of 2 units, and a height of 2 units, meaning it would also have an area of 2 square units.

Area of the triangle: 0.5*6*5 = 15 square units

16 units^2

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The area is 71.29 square units

An infinite number. All you need is any right triangle where the product of the lengths of the two legs is 40.

No. When we say triangles are similar we mean that they are the same shape. So a triangle could have the same shape but be double the size. It would then have an area 4 times the original triangle.Example: a right angled triangle with sides 3, 4 and 5 cm would be similar to a right angled triangle with sides 6,8 and 10 cm. The area of the first triangle would be (3x4)/2=6sq cm, while the area of the latter would be (6x8)/2+24 sq cm.When triangles are identical they are called "congruent". They are the same shape and size and the same area.The formula to calculate the area of a triangle is half(basexheight) or bh/2. Triangles of the same area do not have to be similar. It is just necessary that the product of the base and the height are the same. So a triangle with a base of 4 and a height of 3cm would have the same area area as a triangle with a base of 1 and a height of 12cm.No. Long thin triangles can have the same area as short fat ones but they will not be similar just as two rectangles may have the same area but different proportions.Example:A rectangle 4 * 6 units has an area of 24 square units, so does a rectangle that is 2 * 12 units.Now the cut these rectangles in half, corner to diametrically opposite corner and you have triangles. The one 6 units long and 4 units high and the other 12 units long by 2 units. These have the same area (the both are 12 square units) but are not similar.

The area of a right triangle with base of 8 and height of 8 is: 32 square units. The hypotenuse is 11.31 units.

area = ½ × base × height = ½ × 6 units × 13 units = 39 units²

Yes. For example, one triangle could have a base of 4 units, and a height of 1 unit, which means it would have an area of 2 square units. A different triangle could have a base of 2 units, and a height of 2 units, meaning it would also have an area of 2 square units.

Area of the triangle: 0.5*6*5 = 15 square units

16 units^2

yes. When you are finding the area of a triangle you do the same for all types of triangles.

Simple. Just multiply the base by the height of the triangle, and divide it into two. This works for all types of triangles.

218.08 square units

That's not enough information to determine the area of that triangle. There are an infinite number of different right triangles, with different areas, that all have one side of 12.