Question

diagonals of rhombus are 10.6 and 12.8 cm. if the area if rhombus is same as the area of parallelogram with base 10 cm find the altitude of the parallelogram​

Answer 1

diagonals of rhombus

diagonal 1 (d1)=10.6 cm

diagonal 2 (d2)=12.8 cm

area of rhombus = d1 x d2 = 10.6 cm x 12.8 cm = 135.68 sq. cm

area of parallelogram = area of rhombus = 135.68 sq. cm

area of parallelogram = base x height(altitude)

            135.68 sq. cm = 10 cm x height

                   135.68/10 = height

                 13.568 = height

                               

Answer 2

Answer:

6.784 cm

Step-by-step explanation:

We have to find,

AREA of RHOMBUS = diagonal 1 × diagonal 2 =10.6 × 12.8 = 135.68 sq.cm

We know that,

area of rhombus = area of parallelogram

Area of PARALLELOGRAM = BASE × HEIGHT

135.68 = 10 × h

135.68 ÷ 10 = h

height = 13.568