Can a triangle have sides of lengths 9,17,15? Show why or why not.

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

Answer:

A triangle has 3 sides: a, b, c satisfying inequalities below:

=> a + b > c > |a - b|

=> b + c > a > |b - c|

=> c + a > b > |c - a|

9, 15, 17 satisfy the inequalities above (you can check it easily).

Hope this helps!

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3 years ago

In the above figure (not drawn to scale), Find ∠AEC.

n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$