1. **Problem statement:** Find the perimeter and area of the right triangle with sides 9 cm, 12 cm, and 5 cm, and height 3.4 cm. 2. **Perimeter formula:** The perimeter $P$ of a triangle is the sum of all its sides: $$P = a + b + c$$ where $a=9$, $b=12$, and $c=5$ cm. 3. **Calculate perimeter:** $$P = 9 + 12 + 5 = 26$$ 4. **Area formula:** The area $A$ of a triangle is given by: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ Here, the base can be taken as 9 cm and height as 3.4 cm. 5. **Calculate area:** $$A = \frac{1}{2} \times 9 \times 3.4 = \frac{1}{2} \times 30.6 = 15.3$$ 6. **Final answers:** - Perimeter $P = 26$ cm - Area $A = 15.3$ cm$^2$ These calculations show how to find perimeter by adding all sides and area using base and height.