ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

The Hypotenuse of a Right-angled Triangle is 26 Cm and the Sum of Other Two Sides is 34 Cm. Find the Lengths of Its Sides. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

The hypotenuse of a right-angled triangle is 26 cm and the sum of other two sides is 34 cm. Find the lengths of its sides.

Solution

Hypotenuse = 26 cm
The sum of other two sides is 34 cm.
So, let the other two sides be x cm and (34 – x) cm.
Using Pythagoras theorem,
(26)2 = x2 + (34 – x)2
676 = x2 + x2 + 1156 – 68x
2x2 – 68x + 480 = 0
x2 – 34x + 240 = 0
x2 – 10x – 24x + 240 = 0
x(x – 10) – 24(x – 10) = 0
(x – 10) (x – 24) = 0
x = 10, 24
When x = 10, (34 – x) = 24
When x = 24, (34 – x) = 10
Thus, the lengths the three sides of the right-angled triangle are 10 cm, 24 cm and 26 cm.

  Is there an error in this question or solution?

APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)
Ex.6B | Q: 2
Solution The Hypotenuse of a Right-angled Triangle is 26 Cm and the Sum of Other Two Sides is 34 Cm. Find the Lengths of Its Sides. Concept: Quadratic Equations.
S
View in app×