wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The sides of a triangle are 50 cm, 78 cm and 112 cm. The smallest altitude is

(a) 20 cm

(b) 30 cm

(c) 40 cm

(d) 50 cm

Open in App
Solution

The area of a triangle having sides a, b, c and s as semi-perimeter is given by,

, where

Therefore the area of a triangle, say A having sides 50 cm, 78 cm and 112 cm is given by

The area of a triangle, having p as the altitude will be,

Area = 12×base×height

Where, A = 1680

We have to find the smallest altitude, so will substitute the value of the base AC with the length of each side one by one and find the smallest altitude distance i.e. p

Case 1

Case 2

Case 3

Therefore, the answer is (b).


flag
Suggest Corrections
thumbs-up
6
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Area of a Triangle - by Heron's Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon