Question

The angle of a triangle are in the ratio 5 ratio 3 ratio 7 so that the triangle is acute angled triangle ​

Answer 1

$\huge\bold\green{SOLUTION:}$

ᴛʜᴇ ᴀɴɢʟᴇs ᴏғ ᴛʜᴇ ᴛʀɪᴀɴɢʟᴇ ᴀʀᴇ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ: $5:3:7$

ʟᴇᴛ ᴛʜᴇ ᴀɴɢʟᴇs ʙᴇ $5x,3x,7x$

ʙʏ ᴀɴɢʟᴇ sᴜᴍ ᴘʀᴏᴘᴇʀᴛʏ,

$5x+3x+7x= {180}^{0}$

$15x={180}^{0}$

$x=12$

ᴛʜᴜs, ᴀɴɢʟᴇs ᴀʀᴇ,

$5x=5 \times 12 = {60}^{0}$

$3x=3 \times 12 = {36}^{0}$

$7x=7 \times 12 = {84}^{0}$