Question
The sides of a triangle are 13 cm, 14 cm, and 15 cm.
What is the radius of the circumcircle of this triangle?ÂSolution
The area of the triangle can be calculated using Heron's formula. The semiperimeter s = (13 + 14 + 15) / 2 = 21 cm. The area A = √[21(21 - 13)(21 - 14)(21 - 15)] = √[21 × 8 × 7 × 6] = √7056 = 84 cm².                            The circumradius R is given by R = (abc) / (4A), where a = 13, b = 14, c = 15. So R = (13 × 14 × 15) / (4 × 84) = 2730 / 336 = 8.125 cm ≈ 8 cm. Correct answer: c) 8 cm
Select the INCORRECTLY spelt word.
In each of the questions below, a phrase is followed by five sentences with some part of it as bold. You have to identify the sentence in which the bold...
In each of the following sentences, four words are given in bold and labelled (A), (B), (C), and (D). One of these words may be incorrectly spelt. Find...
In the question below, four sentences are given which may or may not contain an error. Choose the one that is grammatically correct and meaningful. If a...
I. There have been several attacks on foreigners recent.
II. He is a good man whom fortune makes better.
III. She thinks that as each...
The climb to the top is not for the ill-hearts , but if you manage to negotiate the 463 narrow steps from the inside, you will be grated by extraordinar...
Select the most appropriate option to substitute the highlighted segment in the given sentence. If there is no need to substitute it, select ‘No subs...
Out of the statements given below, one statement may be grammatically and contextually correct. Choose the correct statement as your answer. If all the ...
In the question below, a statement has three words highlighted in bold, which may or may not be correctly used. You are required to choose fro...
Most people blames the government for the country's worsening economic crisis.
Relevant for Exams:
