Mathematics
The lengths of the sides of some triangles in some unit are given below. Which of them is a right-angled triangle?
7, 9, 13
10, 24, 26
6, 8, 12
8, 12, 16
Answer
Choose the greatest length. Check whether the square of greatest length is equal to the sum of squares of other two lengths.
10, 24, 26
Here greatest length is 26 cm and other lengths are 24 cm, 10 cm.
Note that 262 = 676 and 242 + 102 = 576 + 100 = 676.
Thus, 262 = 242 + 102.
Thus, triangle with sides 10, 24, 26 form a right-angled triangle.
Hence, option 2 is the correct option.
Related Questions
Two poles of height 9 m and 14 m stand vertically on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
In △ABC, if AB = AC and D is a point on BC. Prove that AB2 - AD2 = BD × CD.
In △ABC, ∠B is a right angle. If D is the foot of the perpendicular drawn from B on AC, then:
BC2 + CD2 = AC2
AB2 - BC2 = AD2 - CD2
BC2 - BD2 = AB2 - AD2
None of these.
In the adjoining figure, CD =
36 cm
40 cm
41 cm
None of these