Chapter 5: Q18 (page 187)

$\bar{GM}$ is a median of right $Δ IRG$
If $m ∠ 4 = 7 x - 3$ and $m ∠ 3 = 6 (x + 1)$ find the value of x.

Short Answer

Expert verified

The value of x is 9.

Step by step solution

Step 1. Description of step.

The length of the median is equal to half the length of the hypotenuse.

Therefore, $M I = M G$ .

Step 2. Description of step.

Consider $Δ G M I$ , in which $M I = M G$ then by isosceles triangle theorem, $m ∠ 3 = m ∠ 4$ .

Step 3. Description of step.

Substitute $7 x - 3$ for $m ∠ 4$ and $6 (x + 1)$ for $m ∠ 3$ into $m ∠ 3 = m ∠ 4$ .

$\begin{matrix} 7 x - 3 = 6 (x + 1) \\ 7 x - 3 = 6 x + 6 \\ x = 9 \end{matrix}$

Therefore, the value of x is 9.

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$\bar{GM}$ is a median of right $Δ IRG$
If $m ∠ 4 = 7 x - 3$ and $m ∠ 3 = 6 (x + 1)$ find the value of x.

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Description of step.

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GM¯is a median of right ΔIRGIfm∠4=7x-3 and m∠3=6x+1find the value of x.

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

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$\bar{GM}$ is a median of right $Δ IRG$
If $m ∠ 4 = 7 x - 3$ and $m ∠ 3 = 6 (x + 1)$ find the value of x.