Question

The perimeter of a right angled triangle is 132cm and its hypotenuse is it 61cm. Find the length of other two sides and area of the triangle​

Answer 1

Answer:

Side of triangle 60,11 and 61

Area of triangle =330

Answer 2

The length of other two sides are 11 cm and 60 cm and area of the triangle​ is 330 sq.cm

Step-by-step explanation:

Let the other two sides be x and y

Hypotenuse = 61 cm

Perimeter of triangle = Sum of all sides = 61+x+y=132 cm

x+y=132-61

x+y=71

x = 71-y

$Hypotenuse^2=Perpendicular^2+Base^2 \\61^2=y^2+(71-y)^2 \\61^2=y^2+71^2+y^2-2(71)y \\(y-11)(y-60)=0$

y=11,60

So, length of other two sides are 11 cm and 60 cm

Area of triangle = $\frac{1}{2} \times base \times height = \frac{1}{2} \times 11 \times 60=330 cm^2$

Hence the length of other two sides are 11 cm and 60 cm and area of the triangle​ is 330 sq.cm

#Learn more :

The perimeter of a right angled triangle is 30cm and hypotenuse is 13cm. Find the length of other two sides of the triangle

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