All categories

2 years ago

a triangle has an area of 54 m2 and a height of 9m how long is the base of the triangle entered your answer in the box

2 answers:

7 0

Answer:
base of the triangle = 12 m

Explanation:
Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
height = 9 m

Substitute in the equation to get the base as follows:
Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
base = 12 m

Hope this helps :)

zhannawk [14.2K]2 years ago

6 0

The first thing you should know to solve this problem is that the definition of the area of the triangle is:
A =(1/2)* b * h
Where,
b: base
h: height.
Clearing the base we have:
b = 2*A / h
Substituting the values
b = 2*(54) / (9) = 12 m
Answer:
The base of the triangle is 12m long

You might be interested in

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: ΔABC is similar to ΔADC

Part B: ΔABC and ΔADC are similar according AA similarity postulate

Part C: DA = 6

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ ΔABC is similar to ΔADC by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to AA similarity postulate,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

$\overline{DA}^2$ = $\overline{DC} \times \overline{BD}$

Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

$\overline{DA}$ = √(36) = 6

$\overline{DA}$ = 6

Learn more here:

brainly.com/question/2269451

3 0

1 year ago

Help me find the answer for D and A please do it step by step for D and A

Vilka [71]

All triangles equal 180 degrees
92 + 50 = 142
180 - 142 = 38
Angle A equals 38 degrees

Angle 92 and Angle d Are supplementary which means that both angles added together equals 180
180-92 = 88
Angle d = 88 degrees

4 0

2 years ago

Simplify: (-4+√3)^2 19 – 8√3 –5 –4√3 19+8√3 16 + 8√3

N76 [4]

It is a because when squared the product ensues as such so A Is the value

5 0

2 years ago

Order 3, -2.5, 1 1/2, -2 2/3, 1.3 from least to greatest

enot [183]

Answer:-2 2/3 < -2.5 < 1.3 < 1 1/2 < 3

Step-by-step explanation:

7 0