Mathematics, 27.03.2020 17:25 u8p4

Work out the height of the following triangles

Answers: 2

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Answer from: GhostElite6383

The height of first (a) triangle is 11.31 cm and the height of the second (b) triangle is 15.49 cm.

Step-by-step explanation:

The given is,

Triangle (a) and (b)

Step:1

For first (a) triangle

(Ref the attachment (a))

b = 4 cm

hyp = 12 cm

From Pythagoras theorem,

$Hyp^{2} = b^{2} +h^{2}$ ...........................(1)

Equation becomes,

$12^{2}$ = $4^{2}$ + $h^{2}$

144 = 16 + $h^{2}$

h = $\sqrt{128}$

h = 11.314 cm

Step:2

For first (b) triangle

(Ref the attachment (b))

b = 7 cm

hyp = 17 cm

From Pythagoras theorem,

$Hyp^{2} = b^{2} +h^{2}$ ...........................(1)

Equation becomes,

$17^{2}$ = $7^{2}$ + $h^{2}$

289 = 49 + $h^{2}$

h = $\sqrt{240}$

h = 15.492 cm

Result:

The height of first (a) triangle is 11.314 cm and the height of the second (b) triangle is 15.492 cm.

Work out the height of the following triangles

Answer from: mariaf0203

A) height = 11.3cm .

B) height = 15.48cm .

Step-by-step explanation:

Here , We need to calculate height of triangles let's do this :

We draw a perpendicular from vertex to base line (8 cm ) , so length becomes 4 cm of base of triangle .

By Pythagoras Theorem we have ,

Hypotenuse^2 = Perpendicular^2+Base^2

⇒ Hypotenuse^2 = Perpendicular^2+Base^2

⇒ 12^2 = Perpendicular^2+4^2

⇒ 144 = Perpendicular^2+16

⇒ Perpendicular^2= 144-16

⇒ $Perpendicular= \sqrt{128}$

⇒ $Perpendicular= \sqrt{2^6(2)}$

⇒ $Perpendicular= 2^3\sqrt{2}$

⇒ $Perpendicular= 8\sqrt{2}cm$

Therefore , height = 11.3cm .

We draw a perpendicular from vertex to base line (14 cm ) , so length becomes 7 cm of base of triangle .

By Pythagoras Theorem we have ,

Hypotenuse^2 = Perpendicular^2+Base^2

⇒ Hypotenuse^2 = Perpendicular^2+Base^2

⇒ 17^2 = Perpendicular^2+7^2

⇒ 289= Perpendicular^2+49

⇒ Perpendicular^2=289-49

⇒ $Perpendicular= \sqrt{240}$

⇒ $Perpendicular= 4\sqrt{15}cm$

Therefore , height = 15.48cm .

Answer from: Quest

just sum

10 + 10 = 20

Answer from: Quest

true

step-by-step explanation:

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