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Step2247 [10]
2 years ago
7

The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?

Mathematics
1 answer:
erik [133]2 years ago
3 0

Step-by-step explanation:

Solution

verified

Verified by Toppr

Correct option is A)

In an isosceles right angled triangle, the two sides on the right angle are equal.

Let the equal sides be a.

Hence, hypotenuse of the isosceles right angled triangle =

a

2

+a

2

=

2

a

Given, perimeter of the triangle =(6+3

2

)m

⇒a+a+

2

a=(6+3

2

)m

⇒a(2+

2

)=3(2+

2

)m

⇒a=3m

In the isosceles right triangle, the base and height =a

Hence, area of the triangle =

2

1

×base×height =

2

1

×3×3=4.5m

2

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