Question

Question !!

The area of a right angled triangle is 40 sq cm. If its base is equal to 28 cm, find its height ?

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Answer 1

from (1) and (2)

⇒160=1600−80h

⇒80h=1600–160=1440

∴h=18 cm

Thus the length of hypotenuse is 18 cm.

Answer 2

Answer :

• Height of right angled traingle is 2.85 cm.

Given :-

• Area of triangle = 40 cm²
• Base of traingle (b) = 28 cm²
• Type of traingle = Right angled traingle

To Find :-

• Height of triangle (h) ?

Solution :-

• Here we are using formula of area of right angled traingle to find out its height.

We know that,

• Area of ∆ = ½ × b × h

Where,

• b denotes base of ∆
• h denotes height of ∆

★ According to the question :

We have,

• Base = 28
• Area = 40 cm²
• We have to find height of ∆ (h)

• Putting all values in formula,

➻ 40 = ½ × 28 × h

➻ 40 = 14 × h

➻ 40/14 = h

➻ 2.85 = h

➻ h = 2.85 cm

• Hence, height of right angled traingle is 2.85 cm.

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