Br0kenGigi
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Find the length of the short leg on the following right triangle.

Find The Length Of The Short Leg On The Following Right Triangle class=

Sagot :

kafleshristi2005

60+90+ angle U = 180 {sum of angle of triangle}

or, 150+ U= 180

or, angle U = 30°

From here we got that ,

angle U is smallest.

We know that, side opposite to the shortest angle is shortest side. So , short leg is side PM

In right angled triangle PMU,

hypotenuse(h) = 10

angle theta = 60°

perpendicular (PM)= ?

NOW,

sin theta = Perpendicular/ hypotenuse

or, sin 60° = P/10

[tex] \\or \frac{ \sqrt{3} }{2} = p \div 10[/tex]

[tex] or\frac{10 \sqrt{3} }{2} = p[/tex]

[tex]or \: 5 \sqrt{3 } = p[/tex]

Therefore,

[tex]short \: leg = 5 \sqrt{3} [/tex]

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.