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stich3 [128]
3 years ago
7

An isosceles right triangle has a hypotenuse that measures 4√2 cm. What is the area of the triangle?

Mathematics
2 answers:
lara31 [8.8K]3 years ago
6 0

Answer:

8

Step-by-step explanation:

a^2 + b^2 = c^2

c = 4\sqrt{2}

c^{2} = 32

a^2 + b^2 = 32

a=b (isosceles triangle)

a=b=4

base = 4

height = 4

area = 1/2 bh = 1/2(4)(4) = 8

torisob [31]3 years ago
4 0

Answer:

8 cm^2

Step-by-step explanation:

If the triangle is isosceles the sides are the same

Let the sides be x

We know that we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse

x^2+x^2 = (4 sqrt(2))^2

2x^2 =16(2)

2x^2 = 32

Divide by 2

2x^2/ 32/2

x^2 = 16

Taking the square root of each side

sqrt(x^2) = sqrt(16)

x = 4

The area of the triangle is

A =1/2 bh

A = 1/2 (4) (4)

A = 1/2(16)

A = 8

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