In the figure below, the diagonal line divides the rectangle into halves
Which statement about the figure is NOT true?
On the rectangle the width is 3cm and the length is 4cm. The line that divides the rectangle is 5cm
F. The perimeter of the rectangle is 14cm
G. The area of each triangle is 12 cm2
H. The area of each triangle is 6cm2
J. Each triangle is a right triangle.
It must be either G or H.
A = bh/2
the area of the triangle
= (1/2)(3)(4)
= 6
h=4 and j=7 what is the area
To find the answer, we need to verify each statement based on the given information.
F. The perimeter of the rectangle is 14cm.
To find the perimeter of a rectangle, we add the lengths of all four sides. In this case, the length = 4 cm and the width = 3 cm. So the perimeter would be 2(4 cm) + 2(3 cm) = 8 cm + 6 cm = 14 cm. Therefore, statement F is true.
G. The area of each triangle is 12 cm2.
To find the area of a triangle, we use the formula: Area = (base * height) / 2.
In this case, the base of each triangle is the width of the rectangle (3 cm) and the height is the length of the rectangle (4 cm). So the area of each triangle would be (3 cm * 4 cm) / 2 = 12 cm². Therefore, statement G is true.
H. The area of each triangle is 6 cm2.
Since we have already determined that the area of each triangle is 12 cm², statement H is not true.
J. Each triangle is a right triangle.
To determine if a triangle is a right triangle, we need to check if it satisfies the Pythagorean theorem, where the square of the length of the hypotenuse (the diagonal line) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse (the diagonal line) is given as 5 cm, and the sides of the rectangle measure 3 cm and 4 cm. So, according to the Pythagorean theorem, 5² = 3² + 4² is true. Hence, each triangle is a right triangle. Therefore, statement J is true.
In conclusion, statement H, "The area of each triangle is 6 cm²," is NOT true.