Question

1. solve.

x = 1.5 cm; y = 5.5 cm; find h .
options: 8.25 cm, 38.5 cm, 6.2 cm, 2.9 cm

Explanation:

Step1: Use geometric mean theorem

$x \cdot y = h^2$

Step2: Substitute given values

$h = \sqrt{x \cdot y} = \sqrt{1.5 \times 5.5}$

Step3: Calculate the product inside root

$1.5 \times 5.5 = 8.25$

Step4: Compute square root

$h = \sqrt{8.25} \approx 2.9$

Answer:

2.9 cm