Help me in this answer.. anyone know this
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tell me its correct or not
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D=90,
Step-by-step explanation:
if AC is the angle bisector then let say
angle BAC=x then angle DAC =x
same way angle BCA=angle DCA=y let say
from the triangle
ABC
x+y+angle B=180
x+y+90=180
x+y=180-90
x+y=90
so in triangle ADC if angle x+y =90 then automatically angle D will be 90
2)
in right angle triangle hypotenuse ^2= sum of the squares of the two sides
so x^2+16= y^2+9
because AC will be common hypotenuse
y^2-x^2= 7
so that means
(y+x)(y-x) =7
if you see clearly
in order to satisfy the above conditions we have only two such numbers those are 3 and 4 so y=4 and x=3
or
we can use the congruence
ASA
so
AD =4
and
BC=3
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