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

The area of a right angled triangle is 165 m2. Determine its base ___m if the altitude exceeds the base by 7m.

Open in App
Solution

Let base of right angled triangle be xm
Then, altitude of right angled triangle becomes (x+7)m
Area of right angled triangle =165m2
12×x×(x+7)=165
x2+7x=330
x2+7x330=0
x2+22x15x330=0
x(x+22)15(x+22)=0
(x+22)(x15)=0
x=22 and x=15
Base cannot be negative.
Base of right angled triangle is 15m

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Triangle Inequality
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon