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4 years ago

I need the answer plz

Mathematics

1 answer:

lakkis [162]4 years ago

5 0

Answer:

GH = 7 $\sqrt{2}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{HI}{GH}$ = $\frac{7}{GH}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

GH = 7 $\sqrt{2}$

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A square has a diagonal length of 5 cm what is the area of a square

Alborosie

Answer:

Area of square = 12.48 cm^2

Step-by-step explanation:

Since the square has all sides equal, and when diagonal is made, square form two right angled triangles. Using Pythagoras theorem we can find the length of side of the square.

$c^2 = a^2 + b^2$

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Putting value of b = a

$(5)^2 = a^2 + a^2\\25 = 2 a^2\\25/2 = a^2\\=> a^2 = 12.5\\ => \sqrt{a^2} = \sqrt{12.5}\\=> a = 3.53\, cm$

So, length of side of square = 3.53

Area of square = (3.53)^2

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