in triangle ABC,AB=10cm,AC=8cm,triangleA=45 a) find perpendicular distance from C to AB b) find the area of the triangle
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Draw a ∆ABC ,where AB=10cm,AC=8cm and ∠A=45.∠A=45. Draw a perpendicular from vertex C which meets the line AB at D. And ∠D=90°∠D=90°
Let AD=x cm
In ∆ADC
Using Pythagoras theorem
82=x2+x282=x2+x2
x=42–√x=42
CD=42–√cmCD=42cm
In ∆ BDC
BC2=(10−42–√)2+(42–√)2BC2=(10−42)2+(42)2
BC=4(41−802–√)cmBC=4(41−802)cm
So all sides are different. So the ∆ABC is a scelence triangle.
Step-by-step explanation:
hopes its helps
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