Question

if hypotenuse is 5cm and base is 3 cm what will be the height​

Answer 1

Answer:Answer is 4

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Step-by-step explanation:

Hypotenuse=5²=25

Base=3²=9

Height=?

Hypotenuse ²=base²+height ²

25=9+height²

25-9=height ²

16 = height ²

4 = height. (taking square)

Answer 2

Given -

• ABC is a right angled triangle with

⇢ Hypotenuse = 5cm

⇢ Base = 3cm

⠀

To find -

• Height of the triangle.

⠀

Solution -

Let us consider,

• AC = Height
• AB = Hypotenuse
• BC = Base

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As we know that, in a right triangle square of hypotenuse is equal to the sum of squares of other two sides. [Pythagoras theorem]

⠀

According to the question

⠀

⟹ AB² = AC² + BC²

⟹ (5)² = AC² + (3)²

⟹ 25 = AC² + 9

⟹ AC² = 25 - 9

⟹ AC² = 16

⟹ AC = √16

⟹ AC = 4 cm

⠀

Hence,

• Height of the triangle is 4cm.

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