Question

draw the regular pentagon and then a triangle of the same area. calculate the area​

Answer 1

QUESTION- Draw a regular pentagon and then a triangle of the same area. calculate the area.

Tan 36 = 2/h (Where h = apothem) h = 2/Tan 36.

= 2.75. Area = (½ x 4 x 2.75) x 5.

= 27.53 cm2. A triangle of the same area:

Assume base of triangle = 4cm.

Area = 1/2bh. 27.53 = ½ x 4 x h. 27.53 = 2h. h = 13.8 cm.

hope it helps..

Answer 2

$\huge\mathbb\red{QUESTION}$

Draw a regular pentagon and then a triangle of the same area. calculate the area.

$\huge\mathbb\red{ANSWER}$

Tan 36 = $\frac{2}{h}$ (Where h = apothem) h = $\frac{2}{Tan 36}$

$\implies$2.75. Area = ($\frac{1}{2}$ x 4 x 2.75) x 5

$\implies$27.53 ${cm}^{2}$.

$\sf\blue\bigstar$A triangle of the same area ;

Assume base of triangle = 4cm

Area = $\frac{1}{2}$bh

27.53 = $\frac{1}{2}$x 4 x h

27.53 = 2h

h = 13.8cm