Sine here, please

Geometry Level 3

Let ABC be a triangle with side AB being 46 inches long, side BC being 58 inches long, and angle ABC being 150 degrees.

What is the area of triangle ABC in square inches?


The answer is 667.

Denton Young by Denton Young , 47, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Tri Nguyen
Dec 16, 2017

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Denton Young
Apr 18, 2017

By the sine rule, we know that the area, A A , is equal to 1 / 2 × A B × B C × s i n ( A B C ) 1/2 \times AB \times BC \times sin(ABC)

s i n ( 150 ) sin(150) = 0.5 0.5

1 / 2 × 46 × 58 × 0.5 = 667 1/2 \times 46 \times 58 \times 0.5 = 667

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...