Question
In a triangle ABC, AB = 13 cm, BC = 14 cm, and AC = 15
cm. Find the area of the triangle and the length of the altitude from vertex A to side BC.Solution
Using Heron’s formula, s = (AB + BC + AC) / 2 = (13 + 14 + 15) / 2 = 21 cm. Area = √[s(s - AB)(s - BC)(s - AC)] = √[21(21 - 13)(21 - 14)(21 - 15)] = √[21 × 8 × 7 × 6] = √(7056) = 84 cm². Altitude from A = (2 × Area) / BC = (2 × 84) / 14 = 12 cm. Correct Option: a) Area = 84 cm², Altitude = 12 cm
If L sits second to the left of D then how many seats are between L and X when counted from the right of X?
Statements:
B ≥ L = C; N ≤ L < O; Q ≥ N < R
Conclusions:
I. B > N
II. N = B
As many persons sit between O and L as between I and _____?
What is the position of Q with respect to S?
In which of the following statement the first person sits exactly between the second and the third person in the following arrangement?
I) DTJ
Five family members – Pinku, Qittu, Ritu, Simi, and Tani are sitting in a row facing North. Ritu is sitting exactly in the middle of the row. Tani is ...
If all the persons turn 180° to their right, then who among the following person sits second to the right of X?
Four of the following five are alike in a certain way and hence form a group. Find the one who doesn’t belong to that group?
Six cars from brands – Audi, BMW, Citroen, Dacia, Elva, and Ferrari are parked around a circular field facing away from the centre. BMW is parked imme...
- Six persons (N, O, P, Q, R and S) sit in a linear row and face in north direction. Q sits third to the right of P. Only R sits to the right of S. O sits to...
