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gizmo_the_mogwai [7]
3 years ago
11

Using the same triangle as above, calculate the area of the triangle. You must show TWO methods for calculating the area of the

triangle. Round both answers to nearest tenth. Hint: you should be using the same values you provided in question 3 and you can use any values you calculated in question 3 as well.

Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Area of a triangle is 1/2 * b * h

b = base, the one labeled b on the diagram

h = height, the dotted line in the middle

so, you do pythagorean theorem with a and b to find the dotted line

a² + b² = h² (h is for height)

h = \sqrt{a^{2} +b^{2}}

Then, you just plug in the numbers from question 3 to find h and then you do

1/2 * b * h

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The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13. The altitude is x + 7
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Step-by-step explanation:

You can draw an isosceles triangle like the one shown attached.

An isosceles triangle has two equal sides. Then, you can divide it into two right triangles, where the base of each one of them will be:

b'=\frac{2x}{2}=x

The hypotenuse of each right triangle shown is 13 and the other legs are (x+7) and x, therefore you can apply the Pythagorean Theorem:

13^2=x^2+(x+7)^2

Simplify the expression:

169=x^2+(x^{2}+2(x)(7)+7^2)\\169=x^{2}+x^{2}+14x+49\\0=2x^{2}+14x-120

Use the quadratic formula, where:

a=2\\b=14\\c=-120

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

Then:

x=\frac{-14\±\sqrt{14^2-4(2)(-120)}}{2+2}

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Choose the positive value, because lengths are not negative.

Substitute the value of x into the base 2x. Therefore, the answer is:

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3 years ago
What is the product of (-a+3)(a+4)
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Answer:-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

Clear brackets

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Add like terms

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