Question

&
Blanks
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triangle.
(92 The arece of the triangle to?
the coordinates axes and the line
x+y = 6 is a
sq unit.
clof A co,5), B (3,0), C (35) are
Vertices of alan
Clip Given that sim 6 = a/6, then
: cos o = -
(12) The four sides of .ca BAB CD are.
to
t
circle.
tangentical
AB = 7.20
BC= 8-5com cind DA 6.9 cm the
cm.​

Answer 1

Step-by-step explanation:

1. intercept on x-axis = 6

intercept on y-axis = 6

so, area = ½xbxh

= ½x6x6

= 18sq unit

2. length of AB = √5² + 3²

= √ 25 + 9

= √ 34

length of BC = √(3-3)² + 5²

= 5

length of CA = √ 3² + (5-5)²

= 3

so, the triangle is right angled at C

3. sin0 = a/6

using identity cos²0 + sin²0 = 1

cos²0 = 1 - sin²0

cos²0 = 1 - a²/36

so, cos0 = (√36-a²) /6

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