The perimeter of a right-angled triangle whose sides that make right angles are 15 cm and 20 cm is:?
4 views
1 Answers
Option 3 : 60 cm
Given:
The sides of the right angles = 15 cm and 20 cm
Formula used:
By Pythagoras theorem,
AC2 = AB2 + BC2
Calculation:
[ alt="F1 Shubhanshi 22-2-22 Savita D1" src="//storage.googleapis.com/tb-img/production/22/02/F1_Shubhanshi_22-2-22_Savita_D1.png" style="width: 177px; height: 177px;">
Let AB and BC be 15 cm and 20 cm respectively
According to the question
By Pythagoras theorem,
AC2 = AB2 + BC2
⇒ AC2 = (152 + 202)
⇒ AC2 = (225 + 400)
⇒ AC2 = 625
⇒ AC = 25 cm
Now,
Perimeter of right-angled triangle = (AB + BC + AC)
⇒ (15 + 20 + 25) cm
⇒ 60 cm
∴ The required perimeter is 60 cm
4 views
Answered