Question

find the area of these triangles using the correct formulae​

Answer 1

Answer:

Pythagoras theorem=(AC) square=(AB) square+ (BC) square

(AC) square=(5 cm)+(4 cm)

(AC) square=9cm

AC=√9

AC= 3 cm

Area of triangle= 5cm+4cm+3cm=12 cm square

Answer 2

Given:

  • Hypotenuse of triangle=5cm

  • Base of triangle=4cm

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To find:

  • Area of triangle

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Solution:

To find the area, first we will find the height or altitude of triangle by using Pythagoras theorem.

So,

Hypotenuse²=Base²+Perpendicular²

⇒ (5cm)²=(4cm)²+Perpendicular²

⇒ 25cm²=16cm²+perpendicular²

⇒ 25cm²-16cm²=perpendicular²

⇒ 9cm²=Perpendicular²

⇒ √9cm²=Perpendicular

⇒ 3cm=Perpendicular

Height of the triangle is 3cm.

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Now applying formula for area of triangle:

Area of triangle=½×Base×Height

Area of triangle=½×4cm×3cm

Area of triangle=2cm×3cm

Area of triangle=6cm²

So the required area of triangle is 6cm².

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