3 years ago

I need help with this question ASAP!!!!!!!!!!!!

Mathematics

2 answers:

Minchanka [31]3 years ago

8 0

Answer:90 degrees

Step-by-step explanation:

the shape has stayed the same, it just got smaller so the angle doesn’t change

TiliK225 [7]3 years ago

5 0

It 90 degrees because even though the side lengths change the angle measure doesn’t

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DiKsa [7]

Firstly let's find hypotenuse(let it will be "n" of smaller triangle

Let use Pythagorean theorem

$a^{2} + {b}^{2} = {n}^{2} \\ {20}^{2} + {10}^{2} = {n}^{2} \\ n = \sqrt{500}$

Now we need to find hypotenuse(x) of bigger triangle

${c}^{2} + {n}^{2} = {x}^{2} \\ {9}^{2} + { \sqrt{500} }^{2} = {x}^{2} \\ x = \sqrt{581}$

The value of x must be rounded to 1 DP, so

$\sqrt{581} = 24.1039... \\ \sqrt{581} \simeq \: 24.1$

Answer: x=24.1

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