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ki77a [65]
3 years ago
6

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

Mathematics
2 answers:
Alika [10]3 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

2

. Find its base and height.

Hard

Solution

verified

Verified by Toppr

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

2

.

We know that the area of the triangle is A=

2

1

×b×a, therefore,

108=

2

1

(x)(x+6)

⇒x

2

+6x=108×2

⇒x

2

+6x=216

⇒x

2

+6x−216=0

⇒x

2

+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]3 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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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)
Aloiza [94]

The perimeter of the kite is (10 + 2√53) units if the kite and the coordinates of the kite are point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners. Kite is quadrilateral, in which. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

The figure is missing.

On a coordinate plane, kite WXYZ is shown (please refer to the picture)

We have a kite and the coordinates of the kite are:

Point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

Using the distance formula we can find the distance between coordinates:

\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between W and X:

\rm WX=\sqrt{(2+3)^2+(3-3)^2}

WX = 5 units

Similarly, distance between X and Y:

XY = √53 units

YZ = √53 units

ZW = 5 units

Perimeter = sum of the all sides

Perimeter = 5 + √53 + √53 + 5

Perimeter = (10 + 2√53)  units

Thus, the perimeter of the kite is (10 + 2√53) units if the kite and the coordinates of the kite are point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ1

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