Question

The following are the dimensions of a triangle, 6 cm, 8 cm, and 12 cm.

Is this a right triangle?? Use the Pythagorean theorem and the basic law of exponents to prove whether this is a RIGHT triangle.

Show your work and POST your answer.

Answer 1

Perimeter of original triangle: 6+8+10=24 cm

Perimeter of new triangle: 3+4+5=12 cm (You get 3, 4, and 5 from dividing 6, 8. and 10 by 2.)

Ratio of original to new is 24 to 12, simplified to 2 to 1.

The ratio of the perimeter is the ratio of the corresponding sides, as the original measurements are two times the length of the new measurements.

Area of original triangle: (6x8)/2=24 cm^2

Area of new triangle: (3x4)/2=6 cm^2

Ratio of original to new is 24 to 6, simplified to 4 to 1.