find each area of each figure round your answer to the nearest tenth

Question

hypotenuse of triangle 144 degrees
small side is 4 inches
bigger side is 7 inches
show all your work to support your answer

Answer 1

First, we need to find the length of the hypotenuse using the Pythagorean theorem:
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
c^2 = 4^2 + 7^2
c^2 = 16 + 49
c^2 = 65
c = √65
c ≈ 8.1 inches

Next, we can find the area of the triangle using the formula:
Area = 0.5 * base * height
Area = 0.5 * 4 * 7
Area = 14 square inches

Therefore, the area of the triangle with a hypotenuse of 8.1 inches, a smaller side of 4 inches, and a bigger side of 7 inches is approximately 14 square inches.