Question

Jimmy wants to construct the following triangles using these measures. Which ones form a triangle and which do not?

1) 10cm, 8cm, 7cm

2) 5cm, 9cm, 7cm

3) 10cm, 3cm, 7cm

4) 3cm, 5cm, 4cm

Answer 1

according to PGT,

h²=p²+b²

1. (10)²=(8)²+(7)²

100=64+49

100≠113

not possible

2.(9)²=(7)²+(5)²

81=49+25

81≠74

not possible

3.(10)²=(7)²+(3)²

100=49+9

100≠58

not possible

4.(5)²=(4)²+(3)²

25=16+9

25=25

possible