Abc is a triangle in which angle b = 90 bc= 48 and ab=14 a circle is inscribed
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Step-by-step explanation:
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This is your answer bro
Step-by-step explanation:
Given
BC= 48 cm
AB= 14 cm
CA=?
Finding the value of CA by using Pythagoras Theorem
CA² = CB² + BA²
CA² = (48)² + (14)²
CA² = 2304 + 196
CA = √2500
CA = 50 cm
Ar.ΔCAB = Ar.ΔCOB + Ar.ΔCOA + Ar.ΔBOA
Area of Δ = 1/2 × Base × Height
1/2 × 14 × 48 = 1/2 × 48 × r + 1/2 × 50 × r + 1/2 × 14 × r
336 = 24 r + 25 r + 7 r
336 = 56 r
r = 336/56
r = 6 cm
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