Answer:

Using these principles, we can set up the following equations:

HA = MT (opposite sides of rectangle are equal)

2 * HU = HT (definition of midpoint)

2 * MU = MT (definition of midpoint)

Substituting equation 3 into equation 1, we get:

HA = 2 * MU

So if we can find the length of MU, we can determine the lengths of HA and MT. To do this, we can use the Pythagorean theorem in triangle HMU:

MU^2 + HU^2 = HM^2

Since the rectangle is symmetric, we can assume that HM = MA. Therefore:

MU^2 + 2.5^2 = MA^2

But we know that MA = MT, so:

MU^2 + 2.5^2 = MT^2

Solving for MT, we get:

MT = sqrt(MU^2 + 2.5^2)

Similarly, we can use the Pythagorean theorem in triangle HTU:

HT^2 = HU^2 + TU^2

But TU is equal to MU, so:

HT^2 = HU^2 + MU^2

Substituting equation 2, we get:

HT^2 = 2.5^2 + MU^2

Solving for MU, we get:

MU = sqrt(HT^2 - 2.5^2)

So to find HA and MT, we need to know the length of HT. Without additional information, we cannot determine this value. However, we can say that HA and MT are both greater than or equal to 2 * sqrt(2.5^2) = 3.536 cm.

Answer:

HA is 5cm

MT is 5cm

Step-by-step explanation:

A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square. It is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. The opposite sides of a rectangle are equal and parallel.

HA = MT = HU*2 = 2.5cm * 2 = 5cm