Question

The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.

Answer 1

Solution:

Diagonals of perimeter are perpendicular to each other.

So, we can use Pythagorean theorem to find the side length of rhombus.

Diagonal = 16 / 2

= 8 cm

Diagonal = 30 / 2

= 15cm

8² + 15² = s²

→ 64 + 225 = s²

→ 289 = s²

→ s = 17

Perimeter of rhombus = 4 × 17

= 68 cm

Hope it Helps !!!!

Answer 2

Answer:

34 cm

Step-by-step explanation:

Using Pythagorean Theorem,

Diagonal = 16 / 2

= 8 cm

Diagonal = 30 / 2

= 15 cm

8² + 15² = s²

=>64 + 225 = s²

=>289 = s²

->s = 17

Perimeter of rhombus = 4 × 17

= 68 cm