Question

question 4 (1 point)
find the unknow side length.
10 cm
a = 50 cm²
b=
b = _ cm
blank 1:

Explanation:

Step1: Recall the area formula for a triangle

The area formula for a triangle is \( A=\frac{1}{2}\times base\times height\). In this right - triangle, if we assume the height \(h = 10\mathrm{cm}\) and the base is \(b\), and \(A = 50\mathrm{cm}^2\).

Step2: Substitute the known values into the formula

Substitute \(A = 50\), \(h=10\) into \(A=\frac{1}{2}\times b\times h\). We get \(50=\frac{1}{2}\times b\times10\).

Step3: Solve for \(b\)

First, simplify the right - hand side of the equation: \(\frac{1}{2}\times10\times b = 5b\). So the equation becomes \(5b=50\). Then divide both sides of the equation by 5: \(b=\frac{50}{5}\).

Answer:

\(10\)