Using the following picture which side is the hypotenuse?
1 answer:
Hi!
A <u>hypotenuse</u> is the longest leg in a right triangle.
A <u>right triangle</u> is a triangle that has one 90 degree angle.
The hypotenuse is always directly across from the right angle.
In pictures, right angles are represented by a square.
<u><em>Therefore, the side with the hypotenuse is side 3</em></u>, because we can see that the angle between side 1 and side 2 is the right angle, and the hypotenuse would be directly across.
<u><em>For more information, see:</em></u>
<u><em>For information about parts of a right triangle, see:</em></u>
Image = other parts of a right triangle:
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Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740