A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #12 #, #7 #, and #9 #, respectively. What is the rectangle's area?

Question

A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #12 #, #7 #, and #9 #, respectively. What is the rectangle's area?

1 Answer

Impact of this question

1365 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-04T16:55:47

#"Area" = 31.5#

Explanation:

One can chose one of the two sides that is not the hypotenuse to be the base, this will force the remaining side to be height, then use the following equation:

#"Area" = 1/2"base"xx"height"#

I shall chose 7 to be the base; this forces 9 to be the height:

#"Area" = (1/2)*7*9#

#"Area" = 31.5#

Science

Math

Humanities

... and beyond

A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #12 #, #7 #, and #9 #, respectively. What is the rectangle's area?

1 Answer

Explanation:

Related questions

Impact of this question