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Answer:

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Answer:

the circumcentre of an obtuse angled triangle is located outside the triangle .

Step-by-step explanation:

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The position of the circumcentre for an obtuse-angled triangle is outside the triangle.

• An obtuse-angled triangle is a triangle in which one of the angles of the triangle is greater than 90 degrees.
• Circumcentre is a point where all the perpendicular bisectors from the three sides of the triangle meet at a point.
• A perpendicular bisector is the vertical line at 90 degrees from a line and bisects the line in two equal parts.
• The position of the circumcentre varies depending on the type of circle.

Answer:

√64 = 8

√256 = 16

Step-by-step explanation:

Answer:

a=25 d=a2-a1

Step-by-step explanation:

do as in attachment

we can do it in another method that is an=a+(n-1)d

substitute 15,25 in 'n'

Given: The A.P. series is 6, 9, 12, 15, ……​

            First-term(a)= 6  and The common difference(d)=(9-6)=3

To find The value of a₂₅-a₁₅

Solution: The given series of numbers are considered to be in Arithmetic Progressions or in A.P. because the difference between the numbers is the same that is (9-6)=3, (12-9)=3, (15-12)=3, so we can see the common difference is 3 for this series. The nth term of an A.P. is given as

aₙ=a+(n-1)×d.

From above a=6, d=3

∴ a₂₅=a+(25-1)×d  [∵here n=25]

⇒ a₂₅ = 6+(24×3)

⇒ a₂₅ = 6+72

⇒ a₂₅ = 78

Now, a₁₅=a+(15-1)×d  [∵here n=15]

⇒ a₁₅=6+(14×3)

⇒ a₁₅=6+42

⇒ a₁₅=48

∴ a₂₅-a₁₅

=78-48

=30

Hence the value of a₂₅-a₁₅ is 30.