Question

what is the value of a?
r
s
a+72
q
9a
t
a =
submit
work it out

Explanation:

Step1: Use the property of congruent triangles

Since the two triangles are congruent (by the Hypotenuse - Leg theorem, as there is a right - angle, a common side \(QS\), and the other sides are marked equal), we can set up the equation \(a + 72=9a\).

Step2: Solve the equation for \(a\)

Subtract \(a\) from both sides: \(72 = 9a−a\), which simplifies to \(72 = 8a\).
Then divide both sides by \(8\): \(a=\frac{72}{8}\).

Answer:

\(9\)