Question

Please answer these questions only if you know the answers :-

1) Sides of triangle are in ratio of 12 : 17 : 25 and perimeter is 540 cm. Find it's area.

2) A plot of land is in shape of a right triangular region. The legs are of length 8m & 6m. Find it's area.​

Answer 1

Answer:

⇒Let x be common ratio

∴ Sides of triangle will be: 12x,17x and 25x

⇒Perimeter =540 cm(given)

⇒12x+17x+25x=540 cm,

⇒54x=540 cm

⇒x=10 cm

∴ Sides of triangle: a=120,b=170,c=250 cms

⇒2S=540

⇒S=270 cm

A=

s(s−a)(s−b)(s−c)

=

270(270−120)(270−170)(270−250)

cm

2

=

270×150×100×20

cm

2

A=9000 cm

2