Length of the unknown leg, b is 21 and a is 10
Step-by-step explanation:
- Step 1: Given in the first figure, the hypotenuse = 29 and one leg = 20. Find b using the Pythagoras theorem.
Hypotenuse² = Sum of squares of the other two sides
29² = 20² + b²
⇒ b² = 29² - 20² = 841 - 400 = 441
∴ b = 21
- Step 2: In the second figure, Hypotenuse = 26 and one leg = 24.
Find a using the Pythagoras theorem.
Hypotenuse² = Sum of squares of the other two sides
26² = 24² + a²
⇒ a² = 26² - 24² = 676 - 576 = 100
∴ a = 10
