Question

Triangle ABC has a height of 8 cm and an area of 42cm². Calculate the length of BC.

Answer 1

BC must be base then

Area: 42cm²

Height: 8cm

Base: BC

1/2 × b × h = 42

1/2 × b × 8 = 42

b = 42/4

b = 21/2

BC = 21/2 or 10 1/2

Or 10.5cm

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Answer 2

BC must be base

• Height=8cm
• Area=42cm^2

We know

$\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2} Height\times Base}$

$\\ \sf\longmapsto 42=\dfrac{1}{2}8BC$

$\\ \sf\longmapsto 4BC=42$

$\\ \sf\longmapsto BC=\dfrac{42}{4}$

$\\ \sf\longmapsto BC=10.5cm$