Question

Hypoteneous of a right angle triangle is 2 meter square than perpendicular and base is also 1 metar longer than perpendicular . find the length of hypoteneous.​

Answer 1

Step-by-step explanation:

Since the hypotenuse of a right triangle is 2 cm more than the longer side of the triangle and the shorter side of the triangle is 7 cm less than the longer side,

therefore, the hypotenuse =x+9, one side =x and the other side =x+7.

From here, you apply Pythagorean theorem:

a

2

+b

2

=c

2

where

c is length of hypotenuse

a and b are the lengths of the two sides

.

x

2

+(x+7)

2

=(x+9)

2

x

2

+(x+7)(x+7)=(x+9)(x+9)

x

2

+(x

2

+14x+49)=(x

2

+18x+81)

2x

2

+14x+49=x

2

+18x+81

x

2

−4x−32=0

Factoring:

(x−8)(x+4)=0

x=−4,8

We can throw out the negative solution leaving:

x=8 cm (short legth)

long legth =x+7=8+7=15 cm

hypotenuse =x+9=8+9=17 cm

Hence, the length of the hypotenuse is 17 cm.

Answer 2

Answer:

?qijeuejejjehehehehehrvrd