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3 years ago

PLEASE HELP I HAVE NO IDEA HOW TO ANSWER THIS :(

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

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.

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