What is the height of a triangle when the area is 36 cm and the base is 6 cm

Mathematics

2 answers:

pentagon [3]3 years ago

6 0

Answer:

h = 12 cm

Step-by-step explanation:

Use the formula for area of a triangle A = (1/2)bh, where b is the base, and h is the height.

Plug in the given information of A = 36, and b = 6, then solve for h

36 = (1/2)(6)h

36 = 3h (one half of 6 is 3 (1/2)(6) = 3 )

12 = h (divide both sides by 3 to isolate h)

LekaFEV [45]3 years ago

6 0

The height of the triangle is 20 cm.

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Can some one please help me will give 94 points for it

NNADVOKAT [17]

You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
$\frac{AC}{BC} = \frac{DF}{EF}$
Substitute for the values of AC, BC, DF and EF:
$\frac{x}{4} = \frac{11}{8} \\ \\ 8x = 4 \times 11 \\ \\ x = \frac{44}{8}$
$x = 5.5 \: units$
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
$\frac{AB}{BC} = \frac{DE}{EF}$
Substitute for the values and solve:
$\frac{3}{4} = \frac{y}{8}$
$4y = 24 \\ \\ y = 6 \: units$

We have the value x to be 5.5 units and y to be 6 units.