A triangle with an area of 15 square feet has a base length of 2x feet and a height of 5 feet. How long is the base of the triangle?

Question

asked Nov 15, 2024 72.0k views

1 Answer

Troyal · Answer 1 · 2024-11-20T08:30:28+0000

Answer:

6 ft

Explanation:

The formula for the area of a triangle is given by:

$\sf Area = (1)/(2)* base * height$

Given that:

Now, we can substitute these values into the formula:

$\sf 15 = (1)/(2)* (2x) * 5$

Simplify:

$\sf 15 = 5x$

Divide both sides by 5;

$\sf (5x)/(5) = (15 )/(5)$

$\sf x = 3$

Now that we've found the value of x, we can substitute it back into the base length equation:

$\sf \textsf{Base length} = 2x = 2 * 3 = 6 feet$

So, the length of the base of the triangle is 6 feet.