Respuesta :

Answer:

1. AT = 9.43

2. TH = 9.43

3. MA = 7.81

4. MH = 7.81

Step-by-step explanation:

1. Determination of the length of AT.

Length of 1st leg = 8

Length of 2nd leg = 5

length of AT =.?

Using pythagoras theory, we can obtain the length of AT as illustrated below:

AT² = 8² + 5²

AT² = 64 + 25

AT² = 89

Take the square root of both side

AT = √89

AT = 9.43

2. Determination of the length of TH.

From the diagram given in the question above, we can see that length TH and length AT are the same i.e

TH = AT

AT = 9.43

Therefore,

TH = 9.43

3. Determination of the length of MA.

Length of 1st leg = 6

Length of 2nd leg = 5

Length of MA =?

Using pythagoras theory, we can obtain the length of MA as illustrated below:

MA² = 6² + 5²

MA² = 36 + 25

MA² = 61

Take the square root of both side

MA = √61

MA = 7.81

4. Determination of the length of MH.

From the diagram given in the question above, we can see that length MH and length MA are the same i.e

MH = MA

MA = 7.81

Therefore,

MH = 7.81