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2 years ago

How do you calculate the area of triangle DEF?

Mathematics

2 answers:

cricket20 [7]2 years ago

8 0

First you need to solve for angle F then you can use 1/2acSinB. If you haven't done this you can also use the Pythagoras theorem and solve for the unknown side once you do that you can just use 1/2 b*h

Kazeer [188]2 years ago

4 0

Area equals 1/2 ( base times height )

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In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.

Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = $\sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}$

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = $\sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}$

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0

3 years ago

A scale has a percent error of 7% the scale reads the mass of a book as 450 g.

Bess [88]

B, is the correct answer.
7% of 450 is 31.5
We add 31.5 to 450 to find out highest possible error, and subtract 31.5 from 450 to find out lowest possible error.

3 0

3 years ago

Read 2 more answers

Several students were asked to name the kinds of animals they saw in the past week at the park. Determine the ratio that compare

SVETLANKA909090 [29]

Answer:

A. 1:8

Step-by-step explanation:

We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.

Dogs: 8

Cat: 2

Fish: 4