The legs of a right triangle measure 5√2 cm and 4√2 cm. Find the area.

Mathematics

2 answers:

den301095 [7]3 years ago

4 0

1/2(5 sqrt 2)(4 sqrt 2)= 20

murzikaleks [220]3 years ago

4 0

$5 \sqrt{2} * 4 \sqrt{2} = A2 \\ A2 / 2 = A \\ A = 6.363961031 cm^{2}$

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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 88 feetfeet less than th

Y_Kistochka [10]

Answer: The length of the ladder is 20 feet.

Step-by-step explanation:

Given : A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder.

Mathematically,

Let x be the length of the ladder then

Distance from ground to the top of the ladder = x- 8

If distance from the bottom of the ladder to the building is 16 feet.

Since ground makes right angle with building , so the triangle made by ladder should be a right triangle.

By Pythagoras theorem of right triangle , we hae

$(Hypotenuse)=(Perpendicular)^2+(Base)^2$

$\Rightarrow\ x^2=(x-8)^2+16^2\\\\\Rightarrow\ x^2=x^2+64-16x+256\ [\text{Using identity :} (a-b)^2=a^+b^2-2ab]\\\\\Rightarrow 0=-16x+320\\\\\Rightarrow\ 16x=320\\\\\Rightarrow\ x=\dfrac{320}{16}=20$