Question

A triangle with an area of 0.45m squared and a perimeter of about 325cm?
pls help meee

Answer 1

To calculate the area of a triangle, the formula is Area = 1/2 × base × height. Using the given base and height, you multiply the two values and then divide by two, ensuring that the units of measurement are consistent and significant figures are properly accounted for.

Step-by-step explanation:

To calculate the area of a triangle, you can use the formula Area = ½ × base × height. For example, if the base of the triangle is 1.007 m (which is 100.7 cm) and the height is 0.665 m (which is 66.5 cm), you would calculate the area as follows:

Area = ½ × 100.7 cm × 66.5 cm = 3346.725 cm², which to the proper number of significant figures is 3350 cm² (since we have four significant figures in the original measurements).

In another example, if the base is 166 mm (16.6 cm) and the height is 930.0 mm (93.0 cm), the calculation of the area would be:

Area = ½ × 16.6 cm × 93.0 cm = 771.39 cm², which would be reported as 771 cm² to the proper number of significant figures.

Understanding that units of measurement are important in such calculations, when dealing with perimeter, the total length around the shape should also be in a linear measure such as meters or centimeters.

Answer 2

Answer:To solve this problem, we need to use the formulas for the area and perimeter of a triangle.

Let's start by using the formula for the area of a triangle:

Area = (base x height) / 2

where base and height are the length and height of the triangle's base, respectively.

Let's assume that the base of the triangle is x meters, and the height is y meters. Then we have:

Area = (x*y)/2 = 0.45 m²

Solving for y, we get:

y = (2*0.45)/x

y = 0.9/x

Now, let's use the formula for the perimeter of a triangle:

Perimeter = a + b + c

where a, b, and c are the lengths of the three sides of the triangle.

Since we know that the perimeter is about 325 cm, we can assume that the three sides are close to each other in length. Let's assume that each side has a length of 325/3 = 108.33 cm.

Converting to meters, we get:

a = b = c = 108.33/100 = 1.0833 m

Now, we can use the formula for the area of a triangle again to solve for x:

Area = (base x height) / 2

0.45 = (x * 0.9/x) / 2

0.9 = x²

x = √0.9 = 0.9487 m

Therefore, the base of the triangle is approximately 0.9487 meters, and the height is approximately 0.9/0.9487 = 0.9487 meters.

So the triangle has sides of length 1.0833 meters and a base of length 0.9487 meters, which gives us a perimeter of approximately 3.215 meters (rounded to three decimal places).

Step-by-step explanation: