Question

the triangle shown below has an area of 25 units².
find the missing length.
x = \boxed{} units

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the height is 10 units, the base is \( x \), and the area \( A = 25 \) units².

Step2: Substitute values into formula

Substitute \( A = 25 \), height \( = 10 \) into the formula: \( 25=\frac{1}{2}\times x\times 10 \).

Step3: Simplify and solve for \( x \)

Simplify the right - hand side: \( \frac{1}{2}\times10\times x = 5x \). So the equation becomes \( 25 = 5x \). Divide both sides by 5: \( x=\frac{25}{5}=5 \).

Answer:

\( x = 5 \) units