Which of the following holds true in a Right angled triangle? Options: A . &nbsp r + R = s B . &nbsp r + 2R = s C . &nbsp 2r + R = s D . &nbsp r + R = 2s

Answer: Option B : B We know, for a Right angled triangle, R = a 2 w h e r e A = 90 ∘ A l s o , r = ( s − a ) t a n A 2 = ( s − a ) t a n 45 ∘ = ( s − a ) = s − 2 R ⇒ r + 2 R = s

Which of the following holds true in a Right angled triangle?

Discussion Forum : Solution Of Triangles

Question -

Which of the following holds true in a Right angled triangle?

Options:

A . r + R = s

B . r + 2R = s

C . 2r + R = s

D . r + R = 2s

Answer: Option B
:
B
We know, for a Right angled triangle,

R = \frac{a}{2} w h e r e A = 90^{\circ} A l s o, r = (s - a) t a n \frac{A}{2} = (s - a) t a n 45^{\circ} = (s - a) = s - 2 R \Rightarrow r + 2 R = s

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