Answer:
Two triangles are similar if and only if the corresponding sides are in proportion and the corresponding angles are congruent. To show two triangles are similar, it is sufficient to show that two angles of one triangle are congruent (equal) to two angles of the other triangle.
Step-by-step explanation:
That's a quadratic equation in

, which means we get an extra square root and

at the end.

We factor,


An acute angle is one that measures LESS than 90˚
An obtuse angle is one that measures between 90˚ and 180˚
A reflex angle is an angle that measures between 180˚ and 360˚
There are other many types of angles such as alternate angles and corresponding angles, but those 3 are the main ones.
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The radius of a circle with the same vertex as a center is 12 units
<h3>Application of Pythagoras theorem;</h3>
To get the radius of the circle, we need to determine the diameter of the circle first:
According to SOH CAH TOA:

Determine the radius of the circle
Radius = dismeter/2
Radius = 24/2
Radius = 12
Hence the radius of a circle with the same vertex as a center is 12 units
Learn more on radius of a circle here: brainly.com/question/24375372
Answer:

Step-by-step explanation:
Since we cannot factor the expression, we must use quadratic formula: 
Plug in <em>a</em> for 2, <em>b</em> for 3, and <em>c</em> for -7 and you should find your roots.