A trapezoid has bases of 15cm and 48cm. The area is 79.2cm^2. find the height

2.514285714

Step-by-step explanation:

formula for finding the area of a trapezoid is 1/2 (a+b) x h

a and b stand for the two bases

h stands for the height

79.2 cm = 1/2 (48 + 15) x h (which is unknown)

79.2 cm² = 1/2 (63) x h

79.2 cm² = 31.5 (h)

you multiply both sides of the equal sign by 1/31.5

1/31.5 x 79.2cm² = 31.5 (h) x 1/31.5

1/31.5 x 31.5 = 1 which is constant

1/31.5 x 79.2cm² = h

2.514285714 cm = h

the height of the trapezoid is 2.514285714cm