Question

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Answer 1

Answer:

Given :-

Area of the triangle = 126 cm²

Base of the triangle = 56 m

To Find :-

Height of the triangle.

Solution :-

Area of the triangle :-

\green{:\implies\:\:\:}\sf{Area = \dfrac{1}{2} \times base \times height }:⟹Area=

2

1

×base×height

\green{:\implies\:\:\:}\sf{126 = \dfrac{1}{2} \times 56 \times h }:⟹126=

2

1

×56×h

\green{:\implies\:\:\:}\sf{126 = 28 \times h }:⟹126=28×h

\green{:\implies\:\:\:}\sf{h= \dfrac{126}{28} }:⟹h=

28

126

\green{:\implies \:\:\:}\underline{\boxed{\pink{\mathfrak{h = 4.5\:m}}}}:⟹

h=4.5m

∴ Height of the triangle = 4.5 m

To check ↓

Area of the triangle :-

\blue{:\implies\:\:\:}\sf{Area = \dfrac{1}{2} \times b \times h }:⟹Area=

2

1

×b×h

\blue{:\implies\:\:\:}\sf{Area = \dfrac{1}{2} \times 56 \times 4.5 }:⟹Area=

2

1

×56×4.5

\blue{:\implies\:\:\:}\sf{Area = 28 \times 4.5 }:⟹Area=28×4.5

\blue{:\implies\:\:\: }\underline{\boxed{\purple{\mathfrak{Area = 126 \:cm^2}}}}:⟹

Area=126cm

2

Hence Verified! :D