Given that a = 10 cm and b = 13 cm, work out the height of the triangle.

1 answer:

3 0

The Pythagorean theorem is also known as the Pythagoras' theorem. The height of the triangle is 12cm.

<h3>What is Pythagoras theorem?</h3>

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given a=10cm and b=13cm, therefore, the height of the triangle can be found using the Pythagoras theorem, therefore,

AB² = AD² + BD²

13² = AD² + 5²

169 = AD² + 25

AD = 12cm

Hence, the height of the triangle is 12cm.

Learn more about Pythagoras theorem:

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Graph the line with a slope of −1 that contains the point (3,6)?

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Answer:

y=-x+9

Step-by-step explanation:

The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is $y-y_{1}=m(x-x_{1})$ . So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.

On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.