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2 years ago

The base of a triangle is v245 cm and its height is V20 cm. Find its area.

Mathematics

2 answers:

Alika [10]2 years ago

8 0

Step-by-step explanation:

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The altitude of a triangle is 6 cm greater than its base. If its area is 108 cm

. Find its base and height.

Hard

Solution

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Let the base of the triangle be x.

It is given that the altitude of the triangle is 6 cm greater than its base, therefore, the altitude of the triangle is (x+6).

It is also given that the area of the triangle is 108 cm

We know that the area of the triangle is A=

×b×a, therefore,

108=

(x)(x+6)

⇒x

+6x=108×2

⇒x

+6x=216

⇒x

+6x−216=0

⇒x

+18x−12x−216=0

⇒x(x+18)−12(x+18)=0

⇒(x−12)=0,(x+18)=0

⇒x=12,x=−18

Since the length of the triangle cannot be negative thus, x=12.

Hence, the base of the triangle is 12 cm

lidiya [134]2 years ago

7 0

Answer:

2450

Step-by-step explanation:

→ List the formula for a triangle

Area = 0.5 × Base × Height

→ Substitute in the numbers

0.5 × 245 × 20

→ Simplify

2450

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Answer:

Line 1: $\infty$

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Line 3: $\frac{4}{3}$

Line 4: $\infty$

Line 5: $\frac{7}{4}$

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Line 7: 0

Line 8: 0

Line 9: $\infty$

Line 10: $\infty$

Line 11: 0

Line 12: $\infty$

Step-by-step explanation:

Slope of line is given by the formula:

$\text{Slope = }\dfrac{\text{Change in } y\text{ coordinate}}{\text{Change in } x\text{ coordinate}}$

Line 1:

The change in $x$ coordinate is zero.

Therefore slope of line 1 is $\infty$ .

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Line 3:

Change in $y$ coordinate = 4

Change in $x$ coordinate = 3

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Line 4:

The change in $x$ coordinate is zero.

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Line 5:

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Slope = $\frac{7}{3}$

Line 6:

Change in $y$ coordinate = -7

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Line 7:

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Line 8:

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Slope = 0

Line 9:

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Therefore slope of line 9 is $\infty$ .

Line 10:

The change in $x$ coordinate is zero.

Therefore slope of line 10 is $\infty$ .

Line 11:

The change in $y$ coordinate is zero.

Therefore slope of line 11 is 0.

Line 12:

The change in $x$ coordinate is zero.

Therefore slope of line 12 is $\infty$ .

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Step-by-step explanation:

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