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If in a triangle (r)/(r(1)) = (r(2))/(r(...

If in a triangle `(r)/(r_(1)) = (r_(2))/(r_(3))`, then

A

`A=90^(@)`

B

`B=90^(@)`

C

C =`90^(@)`

D

none of these

Text Solution

Verified by Experts

We have,
`r/(r_(1))=(r_(2))/(r_(3))`
`rArrrr_(3)=r_(1)r_(2)`
`rArr(Delta)/sxx(Delta)/(s-c)=(Delta)/(s-a)xx(Delta)/(s-b)`
`rArr((s-a)(s-b))/(s(s-c))=1`
`rArrtan^(2)C/2=1rArrtanC/2=1rArrC/2=45^(@)rArrC=90^(@)`
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
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