Question

A right –angled triangle ABC is right angled at B, ∠A=2∠C. ∠C is equal to _____________​

Answer 1

Answer:

0

△ABC is a right angled triangle at ∠B

∠B=90

o

Let ∠BAC=x

then ∠BCA=2x

Thus,

∠B+∠BAC+∠BCA=180

o

90+x+2x=180

90+3x=180

3x=90

x=30

then,

∠BAC=30

o

and ∠BCA=2(30)=60

o

Therefore the measure of angles of triangle ABC are 30,60 and 90

Here side AC is a hypotenuse

therefore

Side opposite to 30

o

is half the hypotenuse

here the side opposite to 30

o

is side BC

therefore

BC=

2

1

×AC

thus

AC=2BC

Step-by-step explanation:

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