Question

!50 POINTS! (4 SIMPLE GEOMETRY QUESTIONS)

QUESTIONS BELOW
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Answer 1

1st Picture: b. 50yd, 48yd, 14 yd

2nd Picture: c.
`\tt 7√(2)`

3rd picture: b. isosceles

Explanation:

For 1st Picture:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's check a.

41^2=21^2+10^2

1681≠541

it's not a right-angled triangle.

Let's check b.

50^2=48^2+14^2

2500=2500

Therefore, it is a right-angled triangle,

So, Answer is b. 50yd, 48yd, 14 yd

`\hrulefill`

For 2nd Picture:

In right angled triangle

angle = 45

opposite=7

hypotenuse=x

We can use formula

`\boxed{\tt Sin \:angle = (opposite)/(Hypotenuse)}`

`\tt Sin \: 45=(7)/(x)`

`\tt (1)/(√(2))=\tt (7)/(x)`

doing criss cross multiplication:

`\tt x=7√(2)`

Therefore, answer is c.
`\tt 7√(2)`

`\hrulefill`

For 3rd Picture:

45°-45°-90° triangle

If two angles are equal and one is 90° than it is a right-angled isosceles triangle.

Therefore, answer is b. isosceles