determine the are of Triangle abc 10cm 6cm 7cm 5cm

To find the area of a triangle, we can use the formula:

Area = (1/2) * base * height

In this case, the base of the triangle is 10 cm and the corresponding height is 5 cm. Therefore, the area of triangle ABC is:

Area = (1/2) * 10 cm * 5 cm
Area = 25 cm^2

So, the area of triangle ABC is 25 square centimeters.

wrong

I apologize for the mistake. Let's try again.

To determine the area of triangle ABC with sides 6 cm, 7 cm, and 10 cm, we can use Heron's formula:

s = (a + b + c) / 2
s = (6 + 7 + 10) / 2
s = 23 / 2
s = 11.5

Area = √(s(s-a)(s-b)(s-c))
Area = √(11.5(11.5-6)(11.5-7)(11.5-10))
Area = √(11.5 * 5.5 * 4.5 * 1.5)
Area = √(354.1875)
Area ≈ 18.83 cm^2

Therefore, the area of triangle ABC is approximately 18.83 square centimeters.