Answer:
Length of RT = 9.22 cm to the nearest hundredth
Step-by-step explanation:
Considering the image up in the attachment, ΔRST is a right-angled triangle.
The length of two sides of ΔRST is given as 11cm and 6 cm. The length of the third side which is RT can be obtained using Pythagoras ' rule which says that the sum of the squares of two sides of a right-angled triangle is equal to the square of the hypotenuse.
This rule is given as: c² = b² + a² where c is the hypotenuse and a and b are the other two sides of the right-angled triangle.
In ΔRST, the length of the hypotenuse = 11 cm, the length of one of the two sides = 6cm, length of RT = x
Solving for x: (11 cm)² = (x cm)² + (6 cm)²
(x cm)² = 121 cm² - 36 cm²
(x cm)² = 85 cm²
x cm = √85
x = 9.22 cm to the nearest hundredth
Therefore, length of RT = 9.22 cm to the nearest hundredth