Answer:
OD) 4.9 units, 14.2 units
<em> The lengths of the legs of a right triangle</em>
<em> </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the Acute angle is 19°
And hypotenuse (AC ) = c= 15
We will take cos∝ =
⇒
⇒ BC = 15 × cos 19°
⇒ BC = 15 ×0.9455
⇒ BC = 14.18
The length of the one leg of the right angle triangle
BC = b = 14.18≅ 14.2
We know that ΔABC is a right angle triangle
a² = c² - b²
= 15² - (14.18)²
= 225 - 201.07
= 23.93
a² = 23.93
a = √23.93 = 4.89≅4.9
<u><em>Final answer:-</em></u>
<em> The lengths of the legs of a right triangle</em>
<em> </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15
