This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Welcome back alexnwabuike — been a while! Let's pick up where you left off. The formula for the area of a triangle is given by: Area = (1)/(2) × base × height 1) Step 1: Identify the given values. Area = 36 cm^2 Height = 9 cm Step 2: Substitute the values into the area formula and solve for the base. 36 = (1)/(2) × base × 9 36 = (9)/(2) × base To find the base, multiply both sides by (2)/(9): base = 36 × (2)/(9) base = (72)/(9) base = 8 cm The base of the triangle is 8 cm. 2) Step 1: Identify the given values. Area = 180 cm^2 Base = 20 cm Step 2: Substitute the values into the area formula and solve for the height. 180 = (1)/(2) × 20 × height 180 = 10 × height To find the height, divide both sides by 10: height = (180)/(10) height = 18 cm The height of the triangle is 18 cm. 3) Step 1: Identify the given values. Area = 67.2 cm^2 Height = 16 cm Step 2: Substitute the values into the area formula and solve for the base. 67.2 = (1)/(2) × base × 16 67.2 = 8 × base To find the base, divide both sides by 8: base = (67.2)/(8) base = 8.4 cm The base of the triangle is 8.4 cm. Send me the next one 📸