Question

The legs of a 90 degree triangle are 3.5 cm and 4.6 cm (the legs adjacent to the 90 degree angle) round to the nearest 1 decimal place, how many centimeters squared is the area the triangle?

Answer 1

To find the area of a 90-degree triangle with legs of 3.5 cm and 4.6 cm, apply the formula for a triangle's area, which is 1/2 times base times height. Multiply the leg measurements and divide by two to obtain 8.05 cm squared, which rounds to 8.1 cm squared.

Step-by-step explanation:

The area of a triangle is calculated using the formula 1/2 × base × height. For a 90-degree triangle with legs measuring 3.5 cm and 4.6 cm, these dimensions can serve as the base and height.

Therefore, to find the area, we use the formula:

Area = 1/2 × 3.5 cm × 4.6 cm

Area = 1/2 × 16.1 cm2

Area = 8.05 cm2

After performing the multiplication, we divide by 2 and get an area of 8.05 cm2, which we round to the nearest one decimal place as requested, giving us an area of 8.1 cm2.