Question
In a triangle, the lengths of the sides are proportional
to 4, 3, and 5. If the area of this triangle is 216 square centimeters, determine the triangle's perimeter.Solution
Since, the sides of the triangle are in ratio 3:4:5, the given triangle is a right-angled triangle. Let the three sides of the triangle be '3x' cm, '4x' cm and '5x' cm, respectively So, area of the triangle = (1/2) X (3x) X 4x = 216 Or, 6x2 = 216 Or, x2 = 36 So, x = ±6 Since, length of side cannot be negative, x = 6 So, required perimeter = 6 X (3 + 4 + 5) = 72 cm Hence, option a.
In which sport the term ‘Recurve is used?
How much dividend did the RBI transfer to the central government, contributing to lower fiscal deficit?
Which location has been selected to host the XXVI Olympic and Paralympic Winter Games 2030?
Which Indian coastal town is set to host the 4th ASF Asian Surfing Championships in 2025?
What major initiative was launched by Union Minister Dharmendra Pradhan to implement NEP 2020 at the grassroots level?
When is National Sports Day celebrated annually in India?
By what percentage will global meat, dairy, and egg consumption rise by 2034?
Where was the 40th National Youth Basketball Championships held?
How much financial support has Odisha Chief Minister Naveen Patnaik announced for the state's athletes participating in the Hangzhou Asian Games?
What is the expected percentage of power generation from renewable sources in India's energy mix for the power sector in 2030, according to the Central ...
Relevant for Exams:
