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? A. 9 units, 12 units B. 11 units, 10.2 units C. 4…

Question

asked Apr 1, 2020 182k views

2 Answers

Haxor · Answer 1 · 2020-04-03T20:24:08+0000

The lengths of the legs of a right triangle is 4.9 units, 15.8 units and one acute angle measures 19° and the hypotenuse is 15 units long.

The answer is C. 4.9 units, 15.8 units

Hope this helps :)

Odm · Answer 2 · 2020-04-07T17:30:59+0000

Answer:

Option D,
4.9 units

14.2 units

Step-by-step explanation:

In a right angled triangle one angle is
° while the sum of other two angle is
°

Now if we go by the geometrical concepts

$Sin (19) = (base)/(hypotenuse) \\$

Base length of the triangle is equal to

$15 * sin 19\\= 4.9$ units

As per the rule of Pythagorean theorem -

$(Hypotenuse)^2 = (Base length)^2 + ( Vertical side length)^2\\$

Substituting the values in above equation, we get -

$(15)^ 2 = (4.9)^2 + X^2\\X = √((15)^2 - (4.9)^2) \\X = √(200.99) \\X = 14.2$ units