Question

the hypotenuse of right angle triangle is 25cm the sum of the two other side is 31cm.find the other two sides. ​

Answer 1

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MATHS

The hypotenuse of a right angled triangle is 25cm. The other two sides are such that one is 5cm longer than the other. Their lengths (in cm) are:

A .

10,15

B .

20,25

C .

15,20

D .

25,30

December 20, 2019Zainab Bhattacharyya

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ANSWER

Given: Hypotenuse of right triangle =25 cm

Let the other sides be x and x+5

Thus, By Pythagoras Theorem:

252=x2+(x+5)2

625=x2+x2+25+10x

2x2+10x−600=0

x2+5x−300=0

x2+20x−15x−300=0

(x+20)(x−15)=0

x=15,−20

Thus, the other two sides are 15 cm and 20 cm.

this is your ans

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Answer 2

$\large\bf{\underline{Question;-}}$

the hypotenuse of right angle triangle is 25cm the sum of the two other side is 31cm.find the other two sides.

$\large\bf{\underline{Given;-}}$

• Hypotenuse of right angle ∆ is = 25cm
• Sum of other two sides is = 31cm

$\large\bf{\underline{To\: find:-}}$

• Other two sides=?

So,

• Let the height be x cm
• and, (31-x)cm

$\large\bf{\underline{Solution;-}}$

• By Pythagoras theorem

$\tt→ x^2+(31-x)^2=25^2\\\tt→ x^2+961-62x+x^2=625\\\tt→ 2x^2-62x+336=0\\\tt→ x^2-31x+168=0\\\tt→ x^2-24x-7x+168=0\\\tt→ x(x-24)-7(x-24)=0\\\tt→ (x-24)(x-7)=0\\\tt→ x-24=0,x-7=0\\\tt→ x=24,x=7$

Hence,

other two sides are = 24cm and 7cm