It is impossible to construct an obtuse triangles
with all sides less than 100. The reason is that
one of the sides "must" be greater than 100 in
order to the triangle to be obtuse.

6 0

3 years ago

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A sector of a circle has central angle 120 degrees and arc length 10π

zzz [600]

Answer:

<h2>the radius = 15 cm</h2>

Step-by-step explanation:

let r be the radius of the circle.

→ We know that in circle , the length of an arc

and the corresponding central angle are proportional.

180 corresponds to πr

120 corresponds to 10π

Then

$\frac{\uppi r}{180} =\frac{10\uppi }{120}$

$\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15$

7 0

2 years ago

Find the value of x if this is a rectangle.<br>

Bumek [7]

Answer:

$x=4$

Step-by-step explanation:

we know that

In a rectangle the two diagonals are congruent (same length), and each diagonal bisects the other.

In this problem

$(2x-1)=(x+3)$

solve for x

$(2x-x)=(3+1)$

$x=4$

4 0

4 years ago