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dolphi86 [110]

The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

Right angled triangle,

Side lengths are 8, 15, and 17

Step:1

The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

Ref the attachment,

For angle a,

...................................................(1)

Where, Opp - 8

Hyp - 17

From equation (1),

= 0.470588

(0.470588)

a = 28.072°

For angle b,

...................................................(1)

Where, Opp - 15

Hyp - 17

From equation (1),

= 0.882352

(0.882352)

b = 61.93°

Step:2

Check for solution for right angle triangle,

90 ° = Other 2 angles

90 ° = a + b

90 ° = 28.072° + 61.93°

90 ° = 90 °

Result:

The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

7 0

3 years ago

Which equation is equivalent to √x^2+81 = x+10

jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

$\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2$