54.2k views
0 votes
A triangular pane of glass has a height of 42 inches and an area of 546 square inches. What is the length of the base of the pane?

User Fran B
by
3.8k points

1 Answer

2 votes

Answer:

Base = 26 in

Explanation:

Recall the formula for the area of a triangle as:

Area = (Base x Height) / 2

In our case, this formula converts into:

546 in^2 = Base x 42 in /2

multiply both sides by 2 to get rid of fractions:

1092 in^2 = Base x 42 in

divide both sides by "42 in" to isolate the Base completely

1092 in^2 / 42 in = Base

Therefore Base = 26 in

User Kiamoz
by
4.4k points