Question

the triangle shown below has an area of 10 units².
find the missing length.
h = \boxed{} units

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \).

Step2: Substitute known values

We know the area \( A = 10 \) units² and the base \( b = 4 \) units. Let the height be \( x \). Substituting into the formula: \( 10=\frac{1}{2}\times4\times x \).

Step3: Solve for x

Simplify the right - hand side: \( \frac{1}{2}\times4\times x = 2x \). So we have the equation \( 2x = 10 \). Divide both sides by 2: \( x=\frac{10}{2}=5 \).

Answer:

5