**Area and Perimeter of **Triangles The formula for the **area of **a **triangle **is half the **area of **a parallelogram. **Area of **a **Triangle**: A = 1 2 b h or A = b h 2. What if you were given a **triangle and **the size **of **its base **and **height? How could you find the total distance around the **triangle and **the amount **of **space it takes up? Examples. To calculate the **isosceles** **triangle** **area**, you can use many different formulas. The most popular ones are the equations: Given leg a and base b: **area** = (1/4) × b × √ ( 4 × a² - b² ) Given h height from apex and base b or h2 height from the other two vertices and leg a: **area** = 0.5 × h × b = 0.5 × h2 × a Given any angle and leg or base. C. Find the smallest **perimeter** for which there are two different **triangles** with integer sides and integer **area**. D. Find 5 **triangles** with **perimeter** **of** 100 units having integer **area** **and** integer sides. Four of them are **isosceles**. One is scalene. E. Find all the **triangles** with **perimeter** **of** 84 having integer sides and integer **area**. How many?. Right **Triangle** **Area** **and** **Perimeter** Source Code. The formula in calculating the **area** **of** a **triangle** is A = 1/2 base * height while **Perimeter** = base + height + hypotenuse. From this example we are asking for a user input of base and height. The **area** can easily be calculated using direct substitution, however the **perimeter** would be harder since we. How to find the **area** **of** a right angled **triangle**. In order to find the **area** **of** a right angled **triangle**: 1 Identify the height and base length of your **triangle** (you might need to calculate these values) 2 Write the formula. A = 1 2bh A = 1 2 b h. 3 Substitute the values for base and height. 4 Calculate. 1. Draw an **isosceles triangle** with base 10 cm and height 15 cm. Cut it out. Using paper of a different color, design a rectangle that will fit in the **triangle**. A base of the rectangle should sit on the base of the **triangle**. Cut out the rectangle, and check that it. . 4 Proposition 2. Let ABC be an **isosceles** **triangle** with b = c, the number of **perimeter**-**area** bisectors is 1 if Da < 0 or a>b, 2 if Da =0, 3 if Da > 0 and a ≤b. Remark. In terms of a and b = c, Da is negative, zero, or positive according as a is greater than, equal to, or less than 2. **Perimeter** of an **isosceles triangle** = sum of its sides. **Perimeter** of an **isosceles triangle** = (a + a + b) cm, i.e., (2a + b) cm. Example 3. Find the **perimeter** of an **isosceles triangle** if the base is 16.