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2 years ago

Find The area of the triangle.

Mathematics

2 answers:

lisabon 2012 [21]2 years ago

4 0

Answer:

86.1 yd^2

Step-by-step explanation:

Half of 21 is 10.5

10.5*8.2=86.1

There is no need to divide it by two as there are two triangles stuck together. You would need to multiply it by two if you did divide it by two, but the answer would be the same.

kaheart [24]2 years ago

3 0

Answer:

C : 86.1

Step-by-step explanation:

This is the formula to find a triangles area:

Hope this helped! :)

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12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

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1 year ago

Find the surface area of the cylinder

STatiana [176]

<h2>Solution:-</h2>

• Surface area of a cylinder = 2πr(r + h) sq. units.

In the above diagram,

Radius (r) of the cylinder = 13 cm.

Height (h) of the cylinder = 39 cm.

<h3>• Taking value of π = 3.14</h3>

Hence, Surface area of the cylinder = 2 × 3.14 × 13(13 + 39)

Surface area of the cylinder = (81.64 × 52) cm²

Surface area of the cylinder = 4245.28 cm²

The surface area of the cylinder is 4245.28 cm². [Answer]

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Step-by-step explanation:

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