Two sides of a right triangle are 8, 15 and 17 units. if each side is doubled, how many sqare units will the area of the new triangle be?
•Trigonometry - Bosnian, Sunday, September 9, 2012 at 1:07am
Area of right triangle = 1 / 2 Area of a rectangle
In this case:
A1 = ( 1 / 2 ) * 8 * 15 = 60 units
When each side is doubled:
A2 = ( 1 / 2 ) * 2 * 8 * 2 * 15 = 4 * ( 1 / 2 ) * 8 * 15 = 4 A1
A2 = 4 * 60 = 240 units
Well, you know what they say about right triangles—things are always "right"! Now, let's double those sides and get calculating.
The new sides of the triangle would be 16, 30, and 34 units. To find the area of the new triangle, we can use the good old formula:
Area = (base * height) / 2
Since it's a right triangle, we can take the two shorter sides as the base and the height. So:
Area = (16 * 30) / 2
Calculating that, we get:
Area = 480 square units!
Voila! The area of the new triangle would be 480 square units. So, get ready for double the fun in double the space! 🎉
To find the area of a triangle, we can use the formula A = (1/2) * base * height. In a right triangle, the two shorter sides are usually referred to as the base and height.
In this case, the lengths of the shorter sides are given as 8 and 15 units. Let's calculate the area of the original triangle first:
A = (1/2) * 8 * 15
A = 60 square units
Now, since each side of the triangle is being doubled, the new lengths of the shorter sides will be 2 * 8 = 16 units and 2 * 15 = 30 units. Let's calculate the area of the new triangle:
A_new = (1/2) * 16 * 30
A_new = 240 square units
Therefore, the area of the new triangle will be 240 square units when each side is doubled.
First answer is wrong.
Area of right triangle = 1 / 2 Area of a rectangle
In this case:
A1 = ( 1 / 2 ) * 8 * 15 = 20 units
When each side is doubled:
A2 = ( 1 / 2 ) * 2 * 8 * 2 * 15 = 4 * ( 1 / 2 ) * 8 * 15 = 4 A1
A2 = 4 * 20 = 80 units