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Artist 52 [7]
3 years ago
7

How do you find the inequality for a triangle when it only gives you two sides

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides

<em><u>Solution:</u></em>

We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

This rule must be satisfied for all 3 conditions of the sides.

Consider a triangle ABC,

Let, AB, BC, AC be the length of sides of triangle, then we can say,

Acoording to Triangle Inequality Theorem,

sum of any 2 sides > third side

BC + AB > AC

AC + BC > AB

AB + AC > BC

For example,

When two sides, AB = 7 cm and BC = 6 cm is given

we have to find the third side AC = ?

Then by theorem,

Let AC be the third side

AB + BC > AC

7 + 6 > AC

Thus the inequality is found when only two sides are given

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The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time
cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

1\leq t\geq \sqrt{2}

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

h =20-5t^{2}-----------(1)

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when the stuntman is 15m above the ground.

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5t^{2} =20-15

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when the stuntman is 10m above the ground.

height h = 10m  

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5t^{2} =20-10

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t^{2} =\frac{10}{5}

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Therefore ,time interval of camera film him is 1\leq t\geq \sqrt{2}

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