Triangle

Geometry Level 1

tringle tringle

Find the Height of a Triangle \text{Triangle} with An Area ( 30 c m 2 ) \text({30}~{cm}^{2}) and Base ( 3 c m ) \text({3}~{cm}) .


The answer is 20.

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2 solutions

Matin Naseri
Feb 12, 2018

Area \text{Area} = B a s e × H e i g h t 2 \frac{Base×Height}{2}

Height \text{Height} = A r e a × 2 B a s e \frac{Area×2}{Base}

Base \text{Base} = A r e a × 2 H e i g h t \frac{Area×2}{Height}

Use from second formula H \text{H} = 30 × 2 3 = 20 \frac{30×2}{3} = {20}

Hence the answer is 20 \color{#20A900}{\boxed{20}}

The correct terminology is "height," not "high."

Blan Morrison - 3 years, 3 months ago

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Thank's .

I will fix it.

Matin Naseri - 3 years, 3 months ago

Also, the shape is called a "triangle," not a "tringle." Don't worry! English is a difficult language to use and learn! It just takes time.

Blan Morrison - 3 years, 3 months ago

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Of course , Learning New language alway's difficult.

Also spelling mistake in this problem not from me.

This problem has written by my little brother.

The next problem after this has written by me.

Matin Naseri - 3 years, 3 months ago

The area of a triangle is given by A = 1 2 b h A=\dfrac{1}{2}bh where b b is the base and h h is the height. Substitute:

30 = 1 2 ( 3 ) h 30=\dfrac{1}{2}(3)h

h = 20 cm h=20~\text{cm}

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