A circle is inscribed in a triangle ABC with sides 12 cm, 16 cm, and 20 cm. What is the radius of the circle?
The triangle is a right triangle with sides in a 3:4:5 ratio. The area A = (1/2) × base × height = (1/2) × 12 × 16 = 96 cm². The semiperimeter s = (12 + 16 + 20) / 2 = 24 cm. The inradius r = A / s = 96 / 24 = 4 cm. Correct answer: c) 4 cm
Which two numbers need to be interchanged to make the following equation correct?
2 × 8 ÷ 6 + 4 – 8 = 2
Pointing to a lady Jayant says, "She is the sister of Prikshit, who is the brother of Dushyant and the brother of Abha."
Abha is the sister-in-la...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE : Operations should be performed ...
Rearrange the jumbled-up letters in their natural sequence and find the odd one out.
Referring to a girl, a woman says, "She is the daughter of my son
Three statements are given, followed by three conclusions numbered I, II and III.
Assuming the statements to be true, even if they seem to be at ...
Select the correct mirror image of the given figure, when the mirror is placed at MN as shown below.
Pavan started from his office. After walking a distance of 35 m towards the west, he turned to the right and walked 20 m to reach a garden. Again, he tu...