Math, asked by tiwarichirag81, 11 months ago

Find the area of triangle whose length is 52, 56 60

Answers

Answered by Anonymous
17

 \:\:\:\:  \:  \:    \large\mathfrak{\underline{\huge\mathcal{\bf{\boxed{\boxed{\huge\mathcal{~~QUESTION~~}}}}}}}

•Find the area of triangle whose length is 52, 56 60

 \:\:\:\:  \:  \:  \:  \large\mathfrak{\underline{\huge\mathcal{\bf{\boxed{\boxed{\huge\mathcal{~~AnsweR~~}}}}}}}

•1344 cm²

______________________________________________

<font color=red><marquee behavior=alternate>Solution</marquee></font>

______________________________________________

Half of perimeter (s)

=(52+56+60)/2=84cm

now applying the Herons formula...,

area =  \sqrt{s(s - a)(s - b)(s - c)}  \\

now..

area =  \sqrt{84(84- 52)(84-56)(84 - 60) }  \\  =  > area =  \sqrt{84 \times 32 \times 28 \times 24}  \\  =  > area = 1344cm {}^{2}

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

<marquee direction="Right">hope this help you

Answered by azizalasha
0

Answer:

1344

Step-by-step explanation:

60² = 56² + 52² - 2.56.52.cos∝

cos∝ = ( 56² + 52² - 60²)/2.56.52 = 2240/2.56.52 = 5/13

sin∝ = 12/13

area = bh sin∝/2 = 56.52.6/13 = 56x24 = 1344

Similar questions