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3 years ago

ZABD and ZDBC are supplementary angles.

Mathematics

2 answers:

aleksley [76]3 years ago

5 0

<h2>Answer:</h2>

By supplementary angle property,

x + 78° = 180°

x = 180° - 78°

x = 102°.

blagie [28]3 years ago

4 0

x=102°

Answer:

x+78=180 supplementary angle

x=180-78=102

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Step-by-step explanation:

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Now, to find the base and height of the triangle.

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Now, we put the formula of area to solve:

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$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

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Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

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