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The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units. So answer = 4.9 units, 14.2 units.

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Ame Briseno

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3y ago
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10y ago

For the right angle triangle to comply with Pythagoras' theorem the legs must be 9 and 12 units in length

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Q: What are the lengths of the legs of a right triangle in which one acute angle measures 19 and the hypotenuse is 15 units long?
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Continue Learning about Geometry

How can you use ratios of the side lengths to find the angle measures of the acute angles in a right triangle?

By using trigonometry that is applicable to a right angle triangle.


Can an equilateral triangle be acute?

Yes. Acute angle is less than 90°. 60° which is less than 90°, can make an equilateral triangle .


What is HA Congruence Theorem?

HA Congruence Theorem says: If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two right triangles are congruent.


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The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

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