Find the length of the two sides?
Answers
Step-by-step explanation:
Let the length of the shorter side b x cm. Then, the length of the longer side = (x + 5) cm. Since the triangle is right-angled, the sum of the squares of the sides must be equal to the square of the hypotenuse (Pythagoras Theorem). x2 + (x + 5)2 = 2352 or x2 + x2 + 10x + 25 = 625 or 2x2 + 10x - 600 = 0 or x2 + 5x - 300 = 0 or (x + 20) (x - 15) = 0 This gives x = 15 or x = - 20 We reject x = - 20 and take x = 15. Thus, length of shorter side = 15 cm. Length of longer side = (15 + 5) cm, i.e., 20 cm.Read more on Sarthaks.com - https://www.sarthaks.com/253374/the-hypotenuse-right-triangle-difference-between-lengths-the-other-two-sides-the-triangle
Answer:
20cm and 15cm
Step-by-step explanation:
we know that square of the hypotenuse is equal to the sum of the squares of the other two sides
AC² = AB² + BC²
25² = 20²+15²
625 = 400 + 225
625 = 625
Hence the other two sides of length are 15cm and 20cm
