Question

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help​

Answer 1

Hey ! there

Answer:

• Value of missing side i.e. TE is 12 feet

Step-by-step explanation:

In this question we are provided with a right angle triangle having TS - 35 ft and SE - 37 ft . And we are asked to find the missing side that is TE using Pythagorean Theorem .

Pythagorean Theorem : -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

• H² = P² + B²

Where ,

• H refers to Hypotenuse

• P refers to Perpendicular

• B refers to Base

Solution : -

In the given triangle ,

• Base = TE

• Perpendicular = TS ( 35 feet )

• Hypotenuse = SE ( 37 feet )

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

• Henceforth , value of missing side is 12 feet .

Verifying : -

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

• SE² = TS² + TE²

Substituting value of SE , TS and TE :

• 37² = 35² + 12²

• 1369 = 1225 + 144

• 1369 = 1369

• L.H.S = R.H.S

• Hence , Verified .

Therefore , our answer is correct .

#Keep Learning

Answer 2

$\sf\large \green{\underbrace{\red{Answer⋆}}}:$

TE = 12 feet

Step-by-step explanation:

$\textsf {\underline{ \large {To find :-}}}$

length of TE

$\sf {\underline {\large {Given :-}}}$

TS = 35 feet

SE = 37 feet

$\sf{ \green {\underline{ \underline {\huge{Solution :-}}}}}$

According to Pythagoras theorem

$\sf \pink {hypotenuse^{2} = {perpendicular}^{2} + {base}^{2} }$

in the diagram

SE is our hypotenuse as it is front of 90°

TS is our perpendicular

TE is our base

So with the above formula we can find our base which is TE

$\sf \implies {37}^{2} = {35}^{2} + {base}^{2} \\ \\ \sf \implies 1369 = 1225 + {base}^{2} \\ \\ \sf \implies 1369 - 1225 = {base}^{2} \\ \\ \sf \implies 144 = {base}^{2} \\ \\ \sf \implies \sqrt{144} = base \\ \\ \sf \implies { \fbox {\blue {12 = base}}}$

It's means our TE is 12 feet